@techreport{44659,
  author       = {{Casamassima, Gianna and Eickelmann, Birgit and Labusch, Amelie and Drossel, Kerstin and Barbovschi, M. and Gudmundsdottir, G. B. and Holmarsdottir, H. B. and Kazani, A. and Mifsud, L. and Parsanoglou, D. and Sisask, M. and Symeonaki, M. and Teidla-Kunitsõn, G.}},
  title        = {{{Beyond participation: Video workshops across Europe to engage in research with children and young people and teacher candidates as collaborators investigating ICT in education (DigiGen- working paper series No.10)}}},
  doi          = {{doi: 10.5281/zenodo.6973455}},
  year         = {{2022}},
}

@article{53319,
  abstract     = {{<jats:title>Abstract</jats:title>
               <jats:p>The Neumann problem for (0.1)$$ \begin{align}&amp; V_t = \Delta V-aV+f(x,t) \end{align}$$is considered in bounded domains $\Omega \subset {\mathbb {R}}^n$ with smooth boundary, where $n\ge 1$ and $a\in {\mathbb {R}}$. By means of a variational approach, a statement on boundedness of the quantities $$ \begin{eqnarray*} \sup_{t\in (0,T)} \int_\Omega \big|\nabla V(\cdot,t)\big|^p L^{\frac{n+p}{n+2}} \Big( \big|\nabla V(\cdot,t)\big| \Big) \end{eqnarray*}$$in dependence on the expressions (0.2)$$ \begin{align}&amp; \sup_{t\in (0,T-\tau)} \int_t^{t+\tau} \int_\Omega |f|^{\frac{(n+2)p}{n+p}} L\big( |f|\big) \end{align}$$is derived for $p\ge 2$, $\tau&amp;gt;0$, and $T\ge 2\tau $, provided that $L\in C^0([0,\infty ))$ is positive, strictly increasing, unbounded, and slowly growing in the sense that $\limsup _{s\to \infty } \frac {L(s^{\lambda _0})}{L(s)} &amp;lt;\infty $ for some $\lambda _0&amp;gt;1$. In the particular case when $p=n\ge 2$, an additional condition on growth of $L$, particularly satisfied by $L(\xi ):=\ln ^\alpha (\xi +b)$ whenever $b&amp;gt;0$ and $\alpha&amp;gt;\frac {(n+2)(n-1)}{2n}$, is identified as sufficient to ensure that as a consequence of the above, bounds for theintegrals in (0.2) even imply estimates for the spatio-temporal modulus of continuity of solutions to (0.1). A subsequent application to the Keller–Segel system $$ \begin{eqnarray*} \left\{ \begin{array}{l} u_t = \nabla \cdot \big( D(v)\nabla u\big) - \nabla \cdot \big( uS(v)\nabla v\big) + ru - \mu u^2, \\[1mm] v_t = \Delta v-v+u, \end{array} \right. \end{eqnarray*}$$shows that when $n=2$, $r\in {\mathbb {R}}$, $0&amp;lt;D\in C^2([0,\infty ))$, and $S\in C^2([0,\infty )) \cap W^{1,\infty }((0,\infty ))$ and thus especially in the presence of arbitrarily strong diffusion degeneracies implied by rapid decay of $D$, any choice of $\mu&amp;gt;0$ excludes blowup in the sense that for all suitably regular nonnegative initial data, an associated initial-boundary value problem admits a global bounded classical solution.</jats:p>}},
  author       = {{Winkler, Michael}},
  issn         = {{1073-7928}},
  journal      = {{International Mathematics Research Notices}},
  keywords     = {{General Mathematics}},
  number       = {{19}},
  pages        = {{16336--16393}},
  publisher    = {{Oxford University Press (OUP)}},
  title        = {{{A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System}}},
  doi          = {{10.1093/imrn/rnac286}},
  volume       = {{2023}},
  year         = {{2022}},
}

@article{53323,
  abstract     = {{<jats:title>Abstract</jats:title><jats:p>In a ball <jats:inline-formula><jats:alternatives><jats:tex-math>$$\Omega =B_R(0)\subset \mathbb {R}^n$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                <mml:mrow>
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              </mml:math></jats:alternatives></jats:inline-formula>, <jats:inline-formula><jats:alternatives><jats:tex-math>$$n\ge 2$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                <mml:mrow>
                  <mml:mi>n</mml:mi>
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                  <mml:mn>2</mml:mn>
                </mml:mrow>
              </mml:math></jats:alternatives></jats:inline-formula>, the chemotaxis system <jats:disp-formula><jats:alternatives><jats:tex-math>$$\begin{aligned} \left\{ \begin{array}{l}u_t = \nabla \cdot \big ( D(u) \nabla u \big ) - \nabla \cdot \big ( uS(u)\nabla v\big ), \\ 0 = \Delta v - \mu + u, \qquad \mu =\frac{1}{|\Omega |} \int _\Omega u, \end{array} \right. \qquad \qquad (\star ) \end{aligned}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                <mml:mrow>
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                      </mml:mtd>
                    </mml:mtr>
                  </mml:mtable>
                </mml:mrow>
              </mml:math></jats:alternatives></jats:disp-formula>is considered under no-flux boundary conditions, with a focus on nonlinearities <jats:inline-formula><jats:alternatives><jats:tex-math>$$S\in C^2([0,\infty ))$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                <mml:mrow>
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                  <mml:msup>
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                  <mml:mrow>
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                      <mml:mi>∞</mml:mi>
                      <mml:mo>)</mml:mo>
                    </mml:mrow>
                    <mml:mo>)</mml:mo>
                  </mml:mrow>
                </mml:mrow>
              </mml:math></jats:alternatives></jats:inline-formula> which exhibit super-algebraically fast decay in the sense that with some <jats:inline-formula><jats:alternatives><jats:tex-math>$$K_S&gt;0, \beta \in [0,1)$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                <mml:mrow>
                  <mml:msub>
                    <mml:mi>K</mml:mi>
                    <mml:mi>S</mml:mi>
                  </mml:msub>
                  <mml:mo>&gt;</mml:mo>
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                  <mml:mo>,</mml:mo>
                  <mml:mi>β</mml:mi>
                  <mml:mo>∈</mml:mo>
                  <mml:mrow>
                    <mml:mo>[</mml:mo>
                    <mml:mn>0</mml:mn>
                    <mml:mo>,</mml:mo>
                    <mml:mn>1</mml:mn>
                    <mml:mo>)</mml:mo>
                  </mml:mrow>
                </mml:mrow>
              </mml:math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$$\xi _0&gt;0$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                <mml:mrow>
                  <mml:msub>
                    <mml:mi>ξ</mml:mi>
                    <mml:mn>0</mml:mn>
                  </mml:msub>
                  <mml:mo>&gt;</mml:mo>
                  <mml:mn>0</mml:mn>
                </mml:mrow>
              </mml:math></jats:alternatives></jats:inline-formula>, <jats:disp-formula><jats:alternatives><jats:tex-math>$$\begin{aligned} S(\xi )&gt;0 \quad \text{ and } \quad S'(\xi ) \le -K_S\xi ^{-\beta } S(\xi ) \qquad \text{ for } \text{ all } \xi \ge \xi _0. \end{aligned}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                <mml:mrow>
                  <mml:mtable>
                    <mml:mtr>
                      <mml:mtd>
                        <mml:mrow>
                          <mml:mi>S</mml:mi>
                          <mml:mrow>
                            <mml:mo>(</mml:mo>
                            <mml:mi>ξ</mml:mi>
                            <mml:mo>)</mml:mo>
                          </mml:mrow>
                          <mml:mo>&gt;</mml:mo>
                          <mml:mn>0</mml:mn>
                          <mml:mspace />
                          <mml:mspace />
                          <mml:mtext>and</mml:mtext>
                          <mml:mspace />
                          <mml:mspace />
                          <mml:msup>
                            <mml:mi>S</mml:mi>
                            <mml:mo>′</mml:mo>
                          </mml:msup>
                          <mml:mrow>
                            <mml:mo>(</mml:mo>
                            <mml:mi>ξ</mml:mi>
                            <mml:mo>)</mml:mo>
                          </mml:mrow>
                          <mml:mo>≤</mml:mo>
                          <mml:mo>-</mml:mo>
                          <mml:msub>
                            <mml:mi>K</mml:mi>
                            <mml:mi>S</mml:mi>
                          </mml:msub>
                          <mml:msup>
                            <mml:mi>ξ</mml:mi>
                            <mml:mrow>
                              <mml:mo>-</mml:mo>
                              <mml:mi>β</mml:mi>
                            </mml:mrow>
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                          <mml:mi>S</mml:mi>
                          <mml:mrow>
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                            <mml:mi>ξ</mml:mi>
                            <mml:mo>)</mml:mo>
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                          <mml:mtext>for</mml:mtext>
                          <mml:mspace />
                          <mml:mspace />
                          <mml:mtext>all</mml:mtext>
                          <mml:mspace />
                          <mml:mi>ξ</mml:mi>
                          <mml:mo>≥</mml:mo>
                          <mml:msub>
                            <mml:mi>ξ</mml:mi>
                            <mml:mn>0</mml:mn>
                          </mml:msub>
                          <mml:mo>.</mml:mo>
                        </mml:mrow>
                      </mml:mtd>
                    </mml:mtr>
                  </mml:mtable>
                </mml:mrow>
              </mml:math></jats:alternatives></jats:disp-formula>It is, inter alia, shown that if furthermore <jats:inline-formula><jats:alternatives><jats:tex-math>$$D\in C^2((0,\infty ))$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                <mml:mrow>
                  <mml:mi>D</mml:mi>
                  <mml:mo>∈</mml:mo>
                  <mml:msup>
                    <mml:mi>C</mml:mi>
                    <mml:mn>2</mml:mn>
                  </mml:msup>
                  <mml:mrow>
                    <mml:mo>(</mml:mo>
                    <mml:mrow>
                      <mml:mo>(</mml:mo>
                      <mml:mn>0</mml:mn>
                      <mml:mo>,</mml:mo>
                      <mml:mi>∞</mml:mi>
                      <mml:mo>)</mml:mo>
                    </mml:mrow>
                    <mml:mo>)</mml:mo>
                  </mml:mrow>
                </mml:mrow>
              </mml:math></jats:alternatives></jats:inline-formula> is positive and suitably small in relation to <jats:italic>S</jats:italic> by satisfying <jats:disp-formula><jats:alternatives><jats:tex-math>$$\begin{aligned} \frac{\xi S(\xi )}{D(\xi )} \ge K_{SD}\xi ^\lambda \qquad \text{ for } \text{ all } \xi \ge \xi _0 \end{aligned}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                <mml:mrow>
                  <mml:mtable>
                    <mml:mtr>
                      <mml:mtd>
                        <mml:mrow>
                          <mml:mfrac>
                            <mml:mrow>
                              <mml:mi>ξ</mml:mi>
                              <mml:mi>S</mml:mi>
                              <mml:mo>(</mml:mo>
                              <mml:mi>ξ</mml:mi>
                              <mml:mo>)</mml:mo>
                            </mml:mrow>
                            <mml:mrow>
                              <mml:mi>D</mml:mi>
                              <mml:mo>(</mml:mo>
                              <mml:mi>ξ</mml:mi>
                              <mml:mo>)</mml:mo>
                            </mml:mrow>
                          </mml:mfrac>
                          <mml:mo>≥</mml:mo>
                          <mml:msub>
                            <mml:mi>K</mml:mi>
                            <mml:mrow>
                              <mml:mi>SD</mml:mi>
                            </mml:mrow>
                          </mml:msub>
                          <mml:msup>
                            <mml:mi>ξ</mml:mi>
                            <mml:mi>λ</mml:mi>
                          </mml:msup>
                          <mml:mspace />
                          <mml:mspace />
                          <mml:mtext>for</mml:mtext>
                          <mml:mspace />
                          <mml:mspace />
                          <mml:mtext>all</mml:mtext>
                          <mml:mspace />
                          <mml:mi>ξ</mml:mi>
                          <mml:mo>≥</mml:mo>
                          <mml:msub>
                            <mml:mi>ξ</mml:mi>
                            <mml:mn>0</mml:mn>
                          </mml:msub>
                        </mml:mrow>
                      </mml:mtd>
                    </mml:mtr>
                  </mml:mtable>
                </mml:mrow>
              </mml:math></jats:alternatives></jats:disp-formula>with some <jats:inline-formula><jats:alternatives><jats:tex-math>$$K_{SD}&gt;0$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                <mml:mrow>
                  <mml:msub>
                    <mml:mi>K</mml:mi>
                    <mml:mrow>
                      <mml:mi>SD</mml:mi>
                    </mml:mrow>
                  </mml:msub>
                  <mml:mo>&gt;</mml:mo>
                  <mml:mn>0</mml:mn>
                </mml:mrow>
              </mml:math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$$\lambda &gt;\frac{2}{n}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                <mml:mrow>
                  <mml:mi>λ</mml:mi>
                  <mml:mo>&gt;</mml:mo>
                  <mml:mfrac>
                    <mml:mn>2</mml:mn>
                    <mml:mi>n</mml:mi>
                  </mml:mfrac>
                </mml:mrow>
              </mml:math></jats:alternatives></jats:inline-formula>, then throughout a considerably large set of initial data, (<jats:inline-formula><jats:alternatives><jats:tex-math>$$\star $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                <mml:mo>⋆</mml:mo>
              </mml:math></jats:alternatives></jats:inline-formula>) admits global classical solutions (<jats:italic>u</jats:italic>, <jats:italic>v</jats:italic>) fulfilling <jats:disp-formula><jats:alternatives><jats:tex-math>$$\begin{aligned} \frac{z(t)}{C} \le \Vert u(\cdot ,t)\Vert _{L^\infty (\Omega )} \le Cz(t) \qquad \text{ for } \text{ all } t&gt;0, \end{aligned}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                <mml:mrow>
                  <mml:mtable>
                    <mml:mtr>
                      <mml:mtd>
                        <mml:mrow>
                          <mml:mfrac>
                            <mml:mrow>
                              <mml:mi>z</mml:mi>
                              <mml:mo>(</mml:mo>
                              <mml:mi>t</mml:mi>
                              <mml:mo>)</mml:mo>
                            </mml:mrow>
                            <mml:mi>C</mml:mi>
                          </mml:mfrac>
                          <mml:mo>≤</mml:mo>
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                              <mml:mo>‖</mml:mo>
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                              <mml:mrow>
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                                <mml:mo>,</mml:mo>
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                              </mml:msup>
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                          <mml:mo>≤</mml:mo>
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                            <mml:mo>)</mml:mo>
                          </mml:mrow>
                          <mml:mspace />
                          <mml:mspace />
                          <mml:mtext>for</mml:mtext>
                          <mml:mspace />
                          <mml:mspace />
                          <mml:mtext>all</mml:mtext>
                          <mml:mspace />
                          <mml:mi>t</mml:mi>
                          <mml:mo>&gt;</mml:mo>
                          <mml:mn>0</mml:mn>
                          <mml:mo>,</mml:mo>
                        </mml:mrow>
                      </mml:mtd>
                    </mml:mtr>
                  </mml:mtable>
                </mml:mrow>
              </mml:math></jats:alternatives></jats:disp-formula>with some <jats:inline-formula><jats:alternatives><jats:tex-math>$$C=C^{(u,v)}\ge 1$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                <mml:mrow>
                  <mml:mi>C</mml:mi>
                  <mml:mo>=</mml:mo>
                  <mml:msup>
                    <mml:mi>C</mml:mi>
                    <mml:mrow>
                      <mml:mo>(</mml:mo>
                      <mml:mi>u</mml:mi>
                      <mml:mo>,</mml:mo>
                      <mml:mi>v</mml:mi>
                      <mml:mo>)</mml:mo>
                    </mml:mrow>
                  </mml:msup>
                  <mml:mo>≥</mml:mo>
                  <mml:mn>1</mml:mn>
                </mml:mrow>
              </mml:math></jats:alternatives></jats:inline-formula>, where <jats:italic>z</jats:italic> denotes the solution of <jats:disp-formula><jats:alternatives><jats:tex-math>$$\begin{aligned} \left\{ \begin{array}{l}z'(t) = z^2(t) \cdot S\big ( z(t)\big ), \qquad t&gt;0, \\ z(0)=\xi _0, \end{array} \right. \end{aligned}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                <mml:mrow>
                  <mml:mtable>
                    <mml:mtr>
                      <mml:mtd>
                        <mml:mfenced>
                          <mml:mrow>
                            <mml:mtable>
                              <mml:mtr>
                                <mml:mtd>
                                  <mml:mrow>
                                    <mml:msup>
                                      <mml:mi>z</mml:mi>
                                      <mml:mo>′</mml:mo>
                                    </mml:msup>
                                    <mml:mrow>
                                      <mml:mo>(</mml:mo>
                                      <mml:mi>t</mml:mi>
                                      <mml:mo>)</mml:mo>
                                    </mml:mrow>
                                    <mml:mo>=</mml:mo>
                                    <mml:msup>
                                      <mml:mi>z</mml:mi>
                                      <mml:mn>2</mml:mn>
                                    </mml:msup>
                                    <mml:mrow>
                                      <mml:mo>(</mml:mo>
                                      <mml:mi>t</mml:mi>
                                      <mml:mo>)</mml:mo>
                                    </mml:mrow>
                                    <mml:mo>·</mml:mo>
                                    <mml:mi>S</mml:mi>
                                    <mml:mrow>
                                      <mml:mo>(</mml:mo>
                                    </mml:mrow>
                                    <mml:mi>z</mml:mi>
                                    <mml:mrow>
                                      <mml:mo>(</mml:mo>
                                      <mml:mi>t</mml:mi>
                                      <mml:mo>)</mml:mo>
                                    </mml:mrow>
                                    <mml:mrow>
                                      <mml:mo>)</mml:mo>
                                    </mml:mrow>
                                    <mml:mo>,</mml:mo>
                                    <mml:mspace />
                                    <mml:mi>t</mml:mi>
                                    <mml:mo>&gt;</mml:mo>
                                    <mml:mn>0</mml:mn>
                                    <mml:mo>,</mml:mo>
                                  </mml:mrow>
                                </mml:mtd>
                              </mml:mtr>
                              <mml:mtr>
                                <mml:mtd>
                                  <mml:mrow>
                                    <mml:mrow />
                                    <mml:mi>z</mml:mi>
                                    <mml:mrow>
                                      <mml:mo>(</mml:mo>
                                      <mml:mn>0</mml:mn>
                                      <mml:mo>)</mml:mo>
                                    </mml:mrow>
                                    <mml:mo>=</mml:mo>
                                    <mml:msub>
                                      <mml:mi>ξ</mml:mi>
                                      <mml:mn>0</mml:mn>
                                    </mml:msub>
                                    <mml:mo>,</mml:mo>
                                  </mml:mrow>
                                </mml:mtd>
                              </mml:mtr>
                            </mml:mtable>
                          </mml:mrow>
                        </mml:mfenced>
                      </mml:mtd>
                    </mml:mtr>
                  </mml:mtable>
                </mml:mrow>
              </mml:math></jats:alternatives></jats:disp-formula>which is seen to exist globally, and to satisfy <jats:inline-formula><jats:alternatives><jats:tex-math>$$z(t)\rightarrow +\infty $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                <mml:mrow>
                  <mml:mi>z</mml:mi>
                  <mml:mo>(</mml:mo>
                  <mml:mi>t</mml:mi>
                  <mml:mo>)</mml:mo>
                  <mml:mo>→</mml:mo>
                  <mml:mo>+</mml:mo>
                  <mml:mi>∞</mml:mi>
                </mml:mrow>
              </mml:math></jats:alternatives></jats:inline-formula> as <jats:inline-formula><jats:alternatives><jats:tex-math>$$t\rightarrow \infty $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                <mml:mrow>
                  <mml:mi>t</mml:mi>
                  <mml:mo>→</mml:mo>
                  <mml:mi>∞</mml:mi>
                </mml:mrow>
              </mml:math></jats:alternatives></jats:inline-formula>. As particular examples, exponentially and doubly exponentially decaying <jats:italic>S</jats:italic> are found to imply corresponding infinite-time blow-up properties in (<jats:inline-formula><jats:alternatives><jats:tex-math>$$\star $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                <mml:mo>⋆</mml:mo>
              </mml:math></jats:alternatives></jats:inline-formula>) at logarithmic and doubly logarithmic rates, respectively.</jats:p>}},
  author       = {{Winkler, Michael}},
  issn         = {{1040-7294}},
  journal      = {{Journal of Dynamics and Differential Equations}},
  keywords     = {{Analysis}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Slow Grow-up in a Quasilinear Keller–Segel System}}},
  doi          = {{10.1007/s10884-022-10167-w}},
  year         = {{2022}},
}

@article{53331,
  abstract     = {{<jats:p>In a ball <jats:inline-formula><jats:alternatives><jats:tex-math>$\Omega \subset \mathbb {R}^{n}$</jats:tex-math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0308210522000397_inline1.png" /></jats:alternatives></jats:inline-formula> with <jats:inline-formula><jats:alternatives><jats:tex-math>$n\ge 2$</jats:tex-math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0308210522000397_inline2.png" /></jats:alternatives></jats:inline-formula>, the chemotaxis system
<jats:disp-formula><jats:alternatives><jats:tex-math>\[ \left\{ \begin{array}{@{}l} u_t = \nabla \cdot \big( D(u)\nabla u\big) + \nabla\cdot \big(\dfrac{u}{v} \nabla v\big), \\ 0=\Delta v - uv \end{array} \right. \]</jats:tex-math><jats:graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" mimetype="image" position="float" xlink:href="S0308210522000397_eqnU1.png" /></jats:alternatives></jats:disp-formula>is considered along with no-flux boundary conditions for <jats:inline-formula><jats:alternatives><jats:tex-math>$u$</jats:tex-math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0308210522000397_inline3.png" /></jats:alternatives></jats:inline-formula> and with prescribed constant positive Dirichlet boundary data for <jats:inline-formula><jats:alternatives><jats:tex-math>$v$</jats:tex-math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0308210522000397_inline4.png" /></jats:alternatives></jats:inline-formula>. It is shown that if <jats:inline-formula><jats:alternatives><jats:tex-math>$D\in C^{3}([0,\infty ))$</jats:tex-math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0308210522000397_inline5.png" /></jats:alternatives></jats:inline-formula> is such that <jats:inline-formula><jats:alternatives><jats:tex-math>$0&lt; D(\xi ) \le {K_D} (\xi +1)^{-\alpha }$</jats:tex-math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0308210522000397_inline6.png" /></jats:alternatives></jats:inline-formula> for all <jats:inline-formula><jats:alternatives><jats:tex-math>$\xi &gt;0$</jats:tex-math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0308210522000397_inline7.png" /></jats:alternatives></jats:inline-formula> with some <jats:inline-formula><jats:alternatives><jats:tex-math>${K_D}&gt;0$</jats:tex-math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0308210522000397_inline8.png" /></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$\alpha &gt;0$</jats:tex-math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0308210522000397_inline9.png" /></jats:alternatives></jats:inline-formula>, then for all initial data from a considerably large set of radial functions on <jats:inline-formula><jats:alternatives><jats:tex-math>$\Omega$</jats:tex-math><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0308210522000397_inline10.png" /></jats:alternatives></jats:inline-formula>, the corresponding initial-boundary value problem admits a solution blowing up in finite time.</jats:p>}},
  author       = {{Wang, Yulan and Winkler, Michael}},
  issn         = {{0308-2105}},
  journal      = {{Proceedings of the Royal Society of Edinburgh: Section A Mathematics}},
  keywords     = {{General Mathematics}},
  number       = {{4}},
  pages        = {{1150--1166}},
  publisher    = {{Cambridge University Press (CUP)}},
  title        = {{{Finite-time blow-up in a repulsive chemotaxis-consumption system}}},
  doi          = {{10.1017/prm.2022.39}},
  volume       = {{153}},
  year         = {{2022}},
}

@inproceedings{49825,
  author       = {{Lehmann, Isabell and Acar, Evrim and Hasija, Tanuj and Akhonda, M.A.B.S. and Calhoun, Vince D. and Schreier, Peter and Adali, Tulay}},
  booktitle    = {{ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)}},
  publisher    = {{IEEE}},
  title        = {{{Multi-Task fMRI Data Fusion Using IVA and PARAFAC2}}},
  doi          = {{10.1109/icassp43922.2022.9747662}},
  year         = {{2022}},
}

@article{41282,
  author       = {{Flath, Beate and Momen Pour Tafreshi , Maryam }},
  journal      = {{Transformational  POP: Transitions, Breaks, and Crises in Popular Music (Studies) (Vibes - The IASPM D-A-CH Series 2)}},
  pages        = {{19--32}},
  title        = {{{Zwischen teilhaben und Teil sein. Ein Gespräch über kulturelle Teilhabe im Kontext transdisziplinärer Forschung}}},
  volume       = {{2}},
  year         = {{2022}},
}

@book{37244,
  abstract     = {{Transformations of various kinds have always shaped societies and especially its cultures and research – triggered, for example, by wars, revolutions, shifts in social orders, pandemics, etc. They have led to uncertainty and social upheaval, but also to innovation and change. As pop music cultures, in their entire breadth, can be described as seismographs of social, political, economic, ecological, media, artistic, and technological transformations, in and through them, fields of tensions, disruptions, and lines of conflict become not only visible, audible, and perceptible, but also communicable and thus, negotiable. Volume No. 2 of ~Vibes – The IASPM D-A-CH Series, which is based on the 4th Biennial IASPM D-A-CH conference at Paderborn University/online, takes a closer look at the transformative moments of pop music cultures by theorizing, empiricizing, historicizing, and, finally, politicizing them.}},
  editor       = {{Flath, Beate and Jacke, Christoph and Troike, Manuel}},
  issn         = {{2748-6389}},
  pages        = {{307}},
  publisher    = {{International Association for the Study of Popular Music Deutschland-Austria-Confoederation Helvetica}},
  title        = {{{Transformational POP: Transitions, Breaks, and Crises in Popular Music (Studies)}}},
  volume       = {{2}},
  year         = {{2022}},
}

@inbook{37246,
  abstract     = {{Manuel Troike talks to the Swiss ethnomusicologist Dr. Thomas Burkhalter about his music documentary Contradict – Ideas for a New World. Together with Peter Guyer, Burkhalter gives six musicians from Ghana a chance to speak, to look at the changing values of our time from the African continent, and to show how trends, ideas and visions are increasingly decentralised in a globalised world.}},
  author       = {{Burkhalter, Thomas and Troike, Manuel}},
  booktitle    = {{Transformational POP: Transitions, Breaks, and Crises in Popular Music (Studies)}},
  editor       = {{Flath, Beate and Jacke, Christoph and Troike, Manuel}},
  issn         = {{2748-6389}},
  pages        = {{225--230}},
  publisher    = {{International Association for the Study of Popular Music Deutschland-Austria-Confoederation Helvetica}},
  title        = {{{Contradict – Ideas for a New World. A Talk between Thomas Burkhalter and Manuel Troike about the documentary film Contradict.}}},
  volume       = {{2}},
  year         = {{2022}},
}

@inbook{53607,
  author       = {{Janus, Richard}},
  booktitle    = {{Pandemie im Film. Religiöse und ästhetische Transformationen in der Popularkultur}},
  editor       = {{Kirsner, Inge and Schroeter-Wittke, Harald}},
  isbn         = {{9783658381264}},
  issn         = {{2569-880X}},
  pages        = {{175--183}},
  publisher    = {{Springer Fachmedien Wiesbaden}},
  title        = {{{Nicht aufzuhalten – Im Labyrinth der Suche nach dem Ursprung der Pandemie: „Twelve Monkeys“}}},
  doi          = {{10.1007/978-3-658-38127-1_13}},
  year         = {{2022}},
}

@book{52940,
  editor       = {{Janus, Richard and Schroeter-Wittke, Harald}},
  isbn         = {{9783658368838}},
  pages        = {{218}},
  publisher    = {{SpringerVS}},
  title        = {{{Lust und Abgrund. Theologische und kulturwissenschaftliche Zugänge zum Begehren}}},
  year         = {{2022}},
}

@article{54064,
  abstract     = {{Das deutsche Militär als Welt mit eigenen Werten und Normen hat im Laufe seiner Geschichte einen scheinbar festen Wertekanon ausgebildet, der auch als Grundlage bzw. Bezugspunkt für soldatische Identitätskonstruktionen gelten kann. Die einzelnen Komponenten sowie Konnotationen der durch Ausdrücke repräsentierten Konzepte unterliegen aber beständigem Wandel – sowohl innerhalb der militärischen Sphäre als auch und interdependent angebunden an gesamtgesellschaftliche sowie kulturdiskursive Veränderungsprozesse. Ziel dieses Aufsatzes ist die diachrone Aufarbeitung ausgewählter, aber zentraler Elemente soldatischer Wertekanons anhand der Ausdrücke Pflicht und Treue sowie damit verbunden soldatischer Identitätskonstruktionen vom 18. bis zum 20. Jahrhundert. Als Grundlage dienen zwei unterschiedliche Quellengattungen, anhand derer die Verwendungsweisen der Ausdrücke aufgearbeitet werden sollen: Verwendung finden Soldatenbriefe als Medium an der Schnittstelle zwischen Kriegswahrnehmung und -darstellung vom Zweiten Schlesischen Krieg (1744/1745) bis zum Zweiten Weltkrieg (1939 – 1945) und kontrastierend nach 1945 angefertigte autobiographische Zeugnisse soldatischer Akteure.}},
  author       = {{Markewitz, Friedrich}},
  journal      = {{Sprachwissenschaft}},
  number       = {{3}},
  pages        = {{257--291}},
  publisher    = {{Winter}},
  title        = {{{“Aber man tut eben seine Pflicht, bis der Schwindel zu Ende geht ...“. Zu soldatischen Identitätskonstruktionen vom 18. bis zum 20. Jahrhundert anhand der Ausdrücke Pflicht und Treue}}},
  volume       = {{47}},
  year         = {{2022}},
}

@article{54206,
  author       = {{Bartlitz, David}},
  journal      = {{Europäische Zeitschrift für Wirtschaftsrecht (EuZW)}},
  number       = {{19}},
  pages        = {{905--906}},
  title        = {{{Regulierung der Vergütungspraxis hochrangiger Mitarbeiter im Finanzdienstleistungssektor. Anmerkung zu EuGH, Urt. v. 01.08.2022 - C-352/20}}},
  year         = {{2022}},
}

@book{54257,
  editor       = {{Janus, Richard}},
  pages        = {{16}},
  title        = {{{Reformation mit Jochen Klepper feiern. 31. Oktober 2022}}},
  year         = {{2022}},
}

@article{54264,
  author       = {{Janus, Richard}},
  issn         = {{0934-8522}},
  journal      = {{Materialdienst des Konfessionskundlichen Instituts Bensheim}},
  number       = {{1}},
  pages        = {{45--48}},
  publisher    = {{Walter de Gruyter}},
  title        = {{{Ökumenischer Patriarch Bartholomaios I. Würdigung zum dreißigjährigen Amtsjubiläum}}},
  doi          = {{doi.org/10.1515/mdki-2022-0007}},
  volume       = {{73}},
  year         = {{2022}},
}

@inbook{54258,
  author       = {{Janus, Richard}},
  booktitle    = {{Reformation mit Jochen Klepper feiern. 31. Oktober 2022}},
  editor       = {{Janus, Richard}},
  pages        = {{3--9}},
  title        = {{{Gottesdienstentwurf zum Reformationstag mit Klepper}}},
  volume       = {{3}},
  year         = {{2022}},
}

@article{54272,
  author       = {{Janus, Richard}},
  issn         = {{0540–6226}},
  journal      = {{Jahrbuch für Evangelische Kirchengeschichte des Rheinlandes}},
  pages        = {{41--55}},
  publisher    = {{Dr. Rudolf Habelt}},
  title        = {{{Akteure im Rheinischen Hauptverein des Evangelischen Bundes zur Wahrung deutsch-protestantischer Interessen in der Zeit des Nationalsozialismus}}},
  volume       = {{71}},
  year         = {{2022}},
}

@misc{54273,
  author       = {{Janus, Richard}},
  booktitle    = {{Jahrbuch für Evangelische Kirchengeschichte des Rheinlandes}},
  issn         = {{0540–6226}},
  pages        = {{183--186}},
  publisher    = {{Dr. Rudolf Habelt}},
  title        = {{{Cesary Lipinski / Wolfgang Brylla (Hg.), Reformation 2017. Zwischen Gewinn und Verlust, Göttingen 2020}}},
  volume       = {{71}},
  year         = {{2022}},
}

@inproceedings{29290,
  abstract     = {{Classifying nodes in knowledge graphs is an important task, e.g., predicting
missing types of entities, predicting which molecules cause cancer, or
predicting which drugs are promising treatment candidates. While black-box
models often achieve high predictive performance, they are only post-hoc and
locally explainable and do not allow the learned model to be easily enriched
with domain knowledge. Towards this end, learning description logic concepts
from positive and negative examples has been proposed. However, learning such
concepts often takes a long time and state-of-the-art approaches provide
limited support for literal data values, although they are crucial for many
applications. In this paper, we propose EvoLearner - an evolutionary approach
to learn ALCQ(D), which is the attributive language with complement (ALC)
paired with qualified cardinality restrictions (Q) and data properties (D). We
contribute a novel initialization method for the initial population: starting
from positive examples (nodes in the knowledge graph), we perform biased random
walks and translate them to description logic concepts. Moreover, we improve
support for data properties by maximizing information gain when deciding where
to split the data. We show that our approach significantly outperforms the
state of the art on the benchmarking framework SML-Bench for structured machine
learning. Our ablation study confirms that this is due to our novel
initialization method and support for data properties.}},
  author       = {{Heindorf, Stefan and Blübaum, Lukas and Düsterhus, Nick and Werner, Till and Golani, Varun Nandkumar and Demir, Caglar and Ngonga Ngomo, Axel-Cyrille}},
  booktitle    = {{WWW}},
  pages        = {{818--828}},
  publisher    = {{ACM}},
  title        = {{{EvoLearner: Learning Description Logics with Evolutionary Algorithms}}},
  doi          = {{10.1145/3485447.3511925}},
  year         = {{2022}},
}

@inbook{54310,
  author       = {{Janus, Richard and Schroeter-Wittke, Harald}},
  booktitle    = {{Lust und Abgrund. Theologische und kulturwissenschaftliche Zugänge zum Begehren}},
  editor       = {{Janus, Richard and Schroeter-Wittke, Harald}},
  pages        = {{1--6}},
  publisher    = {{Springer Fachmedien Wiesbaden}},
  title        = {{{Einleitung}}},
  year         = {{2022}},
}

@inbook{54309,
  author       = {{Janus, Richard}},
  booktitle    = {{Lust und Abgrund. Theologische und kulturwissenschaftliche Zugänge zum Begehren}},
  editor       = {{Janus, Richard and Schroeter-Wittke, Harald}},
  pages        = {{53--67}},
  publisher    = {{Springer Fachmedien Wiesbaden}},
  title        = {{{Eingeständnis - Bekenntnis - Widerstand. Die Geste des Bekennens als Ende jeglichen Begehrens}}},
  year         = {{2022}},
}

