@inbook{27843,
  author       = {{Eickelmann, Birgit and Drossel, Kerstin and Labusch, Amelie and Vennemann, Mario and Casamassima, Gianna}},
  booktitle    = {{ICILS 2018 #NRW. Vertiefende Analysen und Befunde für Nordrhein-Westfalen im internationalen Vergleich}},
  editor       = {{Eickelmann, Birgit and Labusch, Amelie and Drossel, Kerstin and Vennemann, Mario}},
  pages        = {{189--200}},
  publisher    = {{Waxmann}},
  title        = {{{Computer- und informationsbezogene Kompetenzen von Schülerinnen und Schülern im internationalen Vergleich}}},
  year         = {{2020}},
}

@misc{27868,
  author       = {{Ayllón, Sara and Barbovschi, Monica and Casamassima, Gianna and Drossel, Kerstin and Eickelmann, Birgit and Ghețău, Cosmin and Haragus, Teo Paul and Holmarsdottir, Halla Bjork and Hyggen, Christer and Kapella, Olaf and Karatzogianni, Athina and Lado, Samuel and Levine, Diane and Lorenz, Theresa and Mifsud, Louise and Parsanoglou, Dimitris and Port, Sonja and Sisask, Merike and Symeonaki, Maria and Teidla-Kunitsõn, Gertha}},
  publisher    = {{DigiGen working package 2}},
  title        = {{{ICT usage across Europe: A literature review and an overview of existing data}}},
  doi          = {{10.6084/M9.FIGSHARE.12906737}},
  year         = {{2020}},
}

@article{52711,
  author       = {{Jenert, Tobias}},
  journal      = {{Zeitschrift für Hochschulentwicklung}},
  number       = {{4}},
  pages        = {{203--222}},
  title        = {{{Überlegungen auf dem Weg zu einer Theorie lehrbezogenen Wandels an Hochschulen}}},
  volume       = {{15}},
  year         = {{2020}},
}

@inbook{24939,
  author       = {{Jenert, Tobias and Sänger, Niklas}},
  booktitle    = {{LERNEN im Hochschulzusammenhang}},
  isbn         = {{978-3-00-067191-3}},
  pages        = {{208--225}},
  title        = {{{Studien- und Lehrentwicklung als Überwindung institutioneller Grenzziehungen. Eine Netzwerktheoretische Betrachtung.}}},
  year         = {{2020}},
}

@misc{46039,
  author       = {{Sänger, Niklas}},
  title        = {{{Die Rolle von sozialen Netzwerken für die Lehrentwicklung und Lehrinnovation an Hochschulen}}},
  year         = {{2020}},
}

@inproceedings{19965,
  author       = {{Grabo, Matti and Acar, Emre and Kenig, Eugeny}},
  location     = {{Cologne}},
  title        = {{{Modeling of a Latent Heat Storage System Consisting of Encapsulated PCM- Elements}}},
  year         = {{2020}},
}

@inproceedings{27417,
  author       = {{Chalicheemalapalli Jayasankar, Deviprasad and Stallmeister, Tim and Wang, Zheng and Tröster, Thomas}},
  booktitle    = {{Hybrid 2020 Materials and Structures}},
  editor       = {{Hausmann, Joachim M and Siebert, Marc  and von Hehl, Axel and Weidenmann, Kay André}},
  location     = {{Digital}},
  pages        = {{167--172}},
  title        = {{{MANUFACTURING OF HYBRID COMPONENTS BY VARTM-PROCESS USING NEW SEALING TECHNIQUE DEVELOPED}}},
  year         = {{2020}},
}

@article{52930,
  author       = {{Baader, Franz and Borgwardt, Stefan and Koopmann, Patrick and Thost, Veronika and Turhan, Anni-Yasmin}},
  journal      = {{Künstliche Intell.}},
  number       = {{4}},
  pages        = {{543–550}},
  title        = {{{Semantic Technologies for Situation Awareness}}},
  doi          = {{10.1007/S13218-020-00694-3}},
  volume       = {{34}},
  year         = {{2020}},
}

@phdthesis{48925,
  author       = {{Peitz, Nina-Madeleine}},
  publisher    = {{Friedrich-Alexander Universität Erlangen-Nürnberg}},
  title        = {{{Professional Development of Vocational Teachers in Language-Sensitive Content Teaching–A Study Visit Abroad as Design-Based Research Intervention for Vocational Teachers Working in School-to-Work Transition Phases}}},
  year         = {{2020}},
}

@inbook{52815,
  author       = {{Büttner, Denise and Gürsoy, Erkan}},
  booktitle    = {{Inklusion  in der Lehrerbildung für das berufliche Schulwesen. Beiträge zur Professionalisierung in der ersten Phase der Lehramtsausbildung}},
  editor       = {{Münk , Dieter  and Scheiermann , Gero}},
  pages        = {{179--197}},
  publisher    = {{Eusl}},
  title        = {{{„Sprachliche Barrieren als Herausforderung bei der Integration von Seiteneinsteiger_innen in das Berufskolleg“ – Lehrer_innenbildung im Spiegel des Integrations- und Inklusionsdiskurses}}},
  year         = {{2020}},
}

@article{52817,
  author       = {{Büttner, Denise and Roll, Heike}},
  journal      = {{ProDaz-Journal}},
  number       = {{4}},
  title        = {{{Migration und Mehrsprachigkeit zum Unterrichtsthema machen – Migrationsliteratur als Zugang im Deutschunterricht? }}},
  year         = {{2020}},
}

@article{45954,
  abstract     = {{<jats:title>Abstract</jats:title>
               <jats:p>$L^2$ norm error estimates of semi- and full discretizations of wave equations with dynamic boundary conditions, using bulk–surface finite elements and Runge–Kutta methods, are studied. The analysis rests on an abstract formulation and error estimates, via energy techniques, within this abstract setting. Four prototypical linear wave equations with dynamic boundary conditions are analysed, which fit into the abstract framework. For problems with velocity terms or with acoustic boundary conditions we prove surprising results: for such problems the spatial convergence order is shown to be less than 2. These can also be observed in the presented numerical experiments.</jats:p>}},
  author       = {{Hipp, David and Kovács, Balázs}},
  issn         = {{0272-4979}},
  journal      = {{IMA Journal of Numerical Analysis}},
  keywords     = {{Applied Mathematics, Computational Mathematics, General Mathematics}},
  number       = {{1}},
  pages        = {{638--728}},
  publisher    = {{Oxford University Press (OUP)}},
  title        = {{{Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates}}},
  doi          = {{10.1093/imanum/drz073}},
  volume       = {{41}},
  year         = {{2020}},
}

@article{45953,
  abstract     = {{<jats:title>Abstract</jats:title>
               <jats:p>$L^2$ norm error estimates of semi- and full discretizations of wave equations with dynamic boundary conditions, using bulk–surface finite elements and Runge–Kutta methods, are studied. The analysis rests on an abstract formulation and error estimates, via energy techniques, within this abstract setting. Four prototypical linear wave equations with dynamic boundary conditions are analysed, which fit into the abstract framework. For problems with velocity terms or with acoustic boundary conditions we prove surprising results: for such problems the spatial convergence order is shown to be less than 2. These can also be observed in the presented numerical experiments.</jats:p>}},
  author       = {{Hipp, David and Kovács, Balázs}},
  issn         = {{0272-4979}},
  journal      = {{IMA Journal of Numerical Analysis}},
  keywords     = {{Applied Mathematics, Computational Mathematics, General Mathematics}},
  number       = {{1}},
  pages        = {{638--728}},
  publisher    = {{Oxford University Press (OUP)}},
  title        = {{{Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates}}},
  doi          = {{10.1093/imanum/drz073}},
  volume       = {{41}},
  year         = {{2020}},
}

@article{45955,
  author       = {{Akrivis, Georgios and Feischl, Michael and Kovács, Balázs and Lubich, Christian}},
  issn         = {{0025-5718}},
  journal      = {{Mathematics of Computation}},
  keywords     = {{Applied Mathematics, Computational Mathematics, Algebra and Number Theory}},
  number       = {{329}},
  pages        = {{995--1038}},
  publisher    = {{American Mathematical Society (AMS)}},
  title        = {{{Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation}}},
  doi          = {{10.1090/mcom/3597}},
  volume       = {{90}},
  year         = {{2020}},
}

@article{45952,
  author       = {{Kovács, Balázs and Li, Buyang and Lubich, Christian}},
  issn         = {{1463-9963}},
  journal      = {{Interfaces and Free Boundaries}},
  keywords     = {{Applied Mathematics}},
  number       = {{4}},
  pages        = {{443--464}},
  publisher    = {{European Mathematical Society - EMS - Publishing House GmbH}},
  title        = {{{A convergent algorithm for forced mean curvature flow driven by diffusion on the surface}}},
  doi          = {{10.4171/ifb/446}},
  volume       = {{22}},
  year         = {{2020}},
}

@inbook{34632,
  author       = {{Hesse, Kerstin}},
  booktitle    = {{Multivariate Algorithms and Information-Based Complexity}},
  editor       = {{Hickernell, Fred J. and Kritzer, Peter}},
  isbn         = {{9783110633115}},
  pages        = {{33--42 }},
  publisher    = {{De Gruyter}},
  title        = {{{RBF-based penalized least-squares approximation of noisy scattered data on the sphere}}},
  year         = {{2020}},
}

@article{53270,
  author       = {{Soleymani, Mohammad and Santamaria, Ignacio and Schreier, Peter J.}},
  issn         = {{0018-9545}},
  journal      = {{IEEE Transactions on Vehicular Technology}},
  keywords     = {{Electrical and Electronic Engineering, Computer Networks and Communications, Aerospace Engineering, Automotive Engineering}},
  number       = {{10}},
  pages        = {{11632--11645}},
  publisher    = {{Institute of Electrical and Electronics Engineers (IEEE)}},
  title        = {{{Improper Gaussian Signaling for the $K$-User MIMO Interference Channels With Hardware Impairments}}},
  doi          = {{10.1109/tvt.2020.3015558}},
  volume       = {{69}},
  year         = {{2020}},
}

@inproceedings{53269,
  author       = {{Soleymani, Mohammad and Santamaria, Ignacio and Maham, Behrouz and Schreier, Peter J.}},
  booktitle    = {{2020 28th European Signal Processing Conference (EUSIPCO)}},
  publisher    = {{IEEE}},
  title        = {{{Rate Region of the K-user MIMO Interference Channel with Imperfect Transmitters}}},
  doi          = {{10.23919/eusipco47968.2020.9287450}},
  year         = {{2020}},
}

@inproceedings{53305,
  author       = {{Mohammadi, Hassan Ghasemzadeh and Arshad, Rahil and Rautmare, Sneha and Manjunatha, Suraj and Kuschel, Maurice and Jentzsch, Felix Paul and Platzner, Marco and Boschmann, Alexander and Schollbach, Dirk}},
  booktitle    = {{2020 25th IEEE International Conference on Emerging Technologies and Factory Automation (ETFA)}},
  publisher    = {{IEEE}},
  title        = {{{DeepWind: An Accurate Wind Turbine Condition Monitoring Framework via Deep Learning on Embedded Platforms}}},
  doi          = {{10.1109/etfa46521.2020.9211880}},
  year         = {{2020}},
}

@article{53322,
  abstract     = {{<jats:title>Abstract</jats:title><jats:p>The Cauchy problem in <jats:inline-formula><jats:alternatives><jats:tex-math>$${\mathbb {R}}^n$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:msup>
                    <mml:mrow>
                      <mml:mi>R</mml:mi>
                    </mml:mrow>
                    <mml:mi>n</mml:mi>
                  </mml:msup>
                </mml:math></jats:alternatives></jats:inline-formula>, <jats:inline-formula><jats:alternatives><jats:tex-math>$$n\ge 1$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mi>n</mml:mi>
                    <mml:mo>≥</mml:mo>
                    <mml:mn>1</mml:mn>
                  </mml:mrow>
                </mml:math></jats:alternatives></jats:inline-formula>, for the parabolic equation <jats:disp-formula><jats:alternatives><jats:tex-math>$$\begin{aligned} u_t=u^p \Delta u \qquad \qquad (\star ) \end{aligned}$$</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:msub>
                              <mml:mi>u</mml:mi>
                              <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:msup>
                              <mml:mi>u</mml:mi>
                              <mml:mi>p</mml:mi>
                            </mml:msup>
                            <mml:mi>Δ</mml:mi>
                            <mml:mi>u</mml:mi>
                            <mml:mspace />
                            <mml:mspace />
                            <mml:mrow>
                              <mml:mo>(</mml:mo>
                              <mml:mo>⋆</mml:mo>
                              <mml:mo>)</mml:mo>
                            </mml:mrow>
                          </mml:mrow>
                        </mml:mtd>
                      </mml:mtr>
                    </mml:mtable>
                  </mml:mrow>
                </mml:math></jats:alternatives></jats:disp-formula>is considered in the strongly degenerate regime <jats:inline-formula><jats:alternatives><jats:tex-math>$$p\ge 1$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mi>p</mml:mi>
                    <mml:mo>≥</mml:mo>
                    <mml:mn>1</mml:mn>
                  </mml:mrow>
                </mml:math></jats:alternatives></jats:inline-formula>. The focus is firstly on the case of positive continuous and bounded initial data, in which it is known that a minimal positive classical solution exists, and that this solution satisfies <jats:disp-formula><jats:alternatives><jats:tex-math>$$\begin{aligned} t^\frac{1}{p}\Vert u(\cdot ,t)\Vert _{L^\infty ({\mathbb {R}}^n)} \rightarrow \infty \quad \hbox {as } t\rightarrow \infty . \end{aligned}$$</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:msup>
                              <mml:mi>t</mml:mi>
                              <mml:mfrac>
                                <mml:mn>1</mml:mn>
                                <mml:mi>p</mml:mi>
                              </mml:mfrac>
                            </mml:msup>
                            <mml:msub>
                              <mml:mrow>
                                <mml:mo>‖</mml:mo>
                                <mml:mi>u</mml:mi>
                                <mml:mrow>
                                  <mml:mo>(</mml:mo>
                                  <mml:mo>·</mml:mo>
                                  <mml:mo>,</mml:mo>
                                  <mml:mi>t</mml:mi>
                                  <mml:mo>)</mml:mo>
                                </mml:mrow>
                                <mml:mo>‖</mml:mo>
                              </mml:mrow>
                              <mml:mrow>
                                <mml:msup>
                                  <mml:mi>L</mml:mi>
                                  <mml:mi>∞</mml:mi>
                                </mml:msup>
                                <mml:mrow>
                                  <mml:mo>(</mml:mo>
                                  <mml:msup>
                                    <mml:mrow>
                                      <mml:mi>R</mml:mi>
                                    </mml:mrow>
                                    <mml:mi>n</mml:mi>
                                  </mml:msup>
                                  <mml:mo>)</mml:mo>
                                </mml:mrow>
                              </mml:mrow>
                            </mml:msub>
                            <mml:mo>→</mml:mo>
                            <mml:mi>∞</mml:mi>
                            <mml:mspace />
                            <mml:mtext>as</mml:mtext>
                            <mml:mspace />
                            <mml:mi>t</mml:mi>
                            <mml:mo>→</mml:mo>
                            <mml:mi>∞</mml:mi>
                            <mml:mo>.</mml:mo>
                          </mml:mrow>
                        </mml:mtd>
                      </mml:mtr>
                    </mml:mtable>
                  </mml:mrow>
                </mml:math></jats:alternatives></jats:disp-formula>The first result of this study complements this by asserting that given any positive <jats:inline-formula><jats:alternatives><jats:tex-math>$$f\in C^0([0,\infty ))$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mi>f</mml:mi>
                    <mml:mo>∈</mml:mo>
                    <mml:msup>
                      <mml:mi>C</mml:mi>
                      <mml:mn>0</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> fulfilling <jats:inline-formula><jats:alternatives><jats:tex-math>$$f(t)\rightarrow +\infty $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mi>f</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> one can find a positive nondecreasing function <jats:inline-formula><jats:alternatives><jats:tex-math>$$\phi \in C^0([0,\infty ))$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mi>ϕ</mml:mi>
                    <mml:mo>∈</mml:mo>
                    <mml:msup>
                      <mml:mi>C</mml:mi>
                      <mml:mn>0</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> such that whenever <jats:inline-formula><jats:alternatives><jats:tex-math>$$u_0\in C^0({\mathbb {R}}^n)$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:msub>
                      <mml:mi>u</mml:mi>
                      <mml:mn>0</mml:mn>
                    </mml:msub>
                    <mml:mo>∈</mml:mo>
                    <mml:msup>
                      <mml:mi>C</mml:mi>
                      <mml:mn>0</mml:mn>
                    </mml:msup>
                    <mml:mrow>
                      <mml:mo>(</mml:mo>
                      <mml:msup>
                        <mml:mrow>
                          <mml:mi>R</mml:mi>
                        </mml:mrow>
                        <mml:mi>n</mml:mi>
                      </mml:msup>
                      <mml:mo>)</mml:mo>
                    </mml:mrow>
                  </mml:mrow>
                </mml:math></jats:alternatives></jats:inline-formula> is radially symmetric with <jats:inline-formula><jats:alternatives><jats:tex-math>$$0&lt; u_0 &lt; \phi (|\cdot |)$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mn>0</mml:mn>
                    <mml:mo>&lt;</mml:mo>
                    <mml:msub>
                      <mml:mi>u</mml:mi>
                      <mml:mn>0</mml:mn>
                    </mml:msub>
                    <mml:mrow>
                      <mml:mo>&lt;</mml:mo>
                      <mml:mi>ϕ</mml:mi>
                      <mml:mo>(</mml:mo>
                      <mml:mo>|</mml:mo>
                    </mml:mrow>
                    <mml:mo>·</mml:mo>
                    <mml:mrow>
                      <mml:mo>|</mml:mo>
                      <mml:mo>)</mml:mo>
                    </mml:mrow>
                  </mml:mrow>
                </mml:math></jats:alternatives></jats:inline-formula>, the corresponding minimal solution <jats:italic>u</jats:italic> satisfies <jats:disp-formula><jats:alternatives><jats:tex-math>$$\begin{aligned} \frac{t^\frac{1}{p}\Vert u(\cdot ,t)\Vert _{L^\infty ({\mathbb {R}}^n)}}{f(t)} \rightarrow 0 \quad \hbox {as } t\rightarrow \infty . \end{aligned}$$</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:msup>
                                  <mml:mi>t</mml:mi>
                                  <mml:mfrac>
                                    <mml:mn>1</mml:mn>
                                    <mml:mi>p</mml:mi>
                                  </mml:mfrac>
                                </mml:msup>
                                <mml:msub>
                                  <mml:mrow>
                                    <mml:mo>‖</mml:mo>
                                    <mml:mi>u</mml:mi>
                                    <mml:mrow>
                                      <mml:mo>(</mml:mo>
                                      <mml:mo>·</mml:mo>
                                      <mml:mo>,</mml:mo>
                                      <mml:mi>t</mml:mi>
                                      <mml:mo>)</mml:mo>
                                    </mml:mrow>
                                    <mml:mo>‖</mml:mo>
                                  </mml:mrow>
                                  <mml:mrow>
                                    <mml:msup>
                                      <mml:mi>L</mml:mi>
                                      <mml:mi>∞</mml:mi>
                                    </mml:msup>
                                    <mml:mrow>
                                      <mml:mo>(</mml:mo>
                                      <mml:msup>
                                        <mml:mrow>
                                          <mml:mi>R</mml:mi>
                                        </mml:mrow>
                                        <mml:mi>n</mml:mi>
                                      </mml:msup>
                                      <mml:mo>)</mml:mo>
                                    </mml:mrow>
                                  </mml:mrow>
                                </mml:msub>
                              </mml:mrow>
                              <mml:mrow>
                                <mml:mi>f</mml:mi>
                                <mml:mo>(</mml:mo>
                                <mml:mi>t</mml:mi>
                                <mml:mo>)</mml:mo>
                              </mml:mrow>
                            </mml:mfrac>
                            <mml:mo>→</mml:mo>
                            <mml:mn>0</mml:mn>
                            <mml:mspace />
                            <mml:mtext>as</mml:mtext>
                            <mml:mspace />
                            <mml:mi>t</mml:mi>
                            <mml:mo>→</mml:mo>
                            <mml:mi>∞</mml:mi>
                            <mml:mo>.</mml:mo>
                          </mml:mrow>
                        </mml:mtd>
                      </mml:mtr>
                    </mml:mtable>
                  </mml:mrow>
                </mml:math></jats:alternatives></jats:disp-formula>Secondly, (<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>) is considered along with initial conditions involving nonnegative but not necessarily strictly positive bounded and continuous initial data <jats:inline-formula><jats:alternatives><jats:tex-math>$$u_0$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:msub>
                    <mml:mi>u</mml:mi>
                    <mml:mn>0</mml:mn>
                  </mml:msub>
                </mml:math></jats:alternatives></jats:inline-formula>. It is shown that if the connected components of <jats:inline-formula><jats:alternatives><jats:tex-math>$$\{u_0&gt;0\}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mo>{</mml:mo>
                    <mml:msub>
                      <mml:mi>u</mml:mi>
                      <mml:mn>0</mml:mn>
                    </mml:msub>
                    <mml:mo>&gt;</mml:mo>
                    <mml:mn>0</mml:mn>
                    <mml:mo>}</mml:mo>
                  </mml:mrow>
                </mml:math></jats:alternatives></jats:inline-formula> comply with a condition reflecting some uniform boundedness property, then a corresponding uniquely determined continuous weak solution to (<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>) satisfies <jats:disp-formula><jats:alternatives><jats:tex-math>$$\begin{aligned} 0&lt; \liminf _{t\rightarrow \infty } \Big \{ t^\frac{1}{p} \Vert u(\cdot ,t)\Vert _{L^\infty ({\mathbb {R}}^n)} \Big \} \le \limsup _{t\rightarrow \infty } \Big \{ t^\frac{1}{p} \Vert u(\cdot ,t)\Vert _{L^\infty ({\mathbb {R}}^n)} \Big \} &lt;\infty . \end{aligned}$$</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:mn>0</mml:mn>
                            <mml:mo>&lt;</mml:mo>
                            <mml:munder>
                              <mml:mo>lim inf</mml:mo>
                              <mml:mrow>
                                <mml:mi>t</mml:mi>
                                <mml:mo>→</mml:mo>
                                <mml:mi>∞</mml:mi>
                              </mml:mrow>
                            </mml:munder>
                            <mml:mrow>
                              <mml:mo>{</mml:mo>
                            </mml:mrow>
                            <mml:msup>
                              <mml:mi>t</mml:mi>
                              <mml:mfrac>
                                <mml:mn>1</mml:mn>
                                <mml:mi>p</mml:mi>
                              </mml:mfrac>
                            </mml:msup>
                            <mml:msub>
                              <mml:mrow>
                                <mml:mo>‖</mml:mo>
                                <mml:mi>u</mml:mi>
                                <mml:mrow>
                                  <mml:mo>(</mml:mo>
                                  <mml:mo>·</mml:mo>
                                  <mml:mo>,</mml:mo>
                                  <mml:mi>t</mml:mi>
                                  <mml:mo>)</mml:mo>
                                </mml:mrow>
                                <mml:mo>‖</mml:mo>
                              </mml:mrow>
                              <mml:mrow>
                                <mml:msup>
                                  <mml:mi>L</mml:mi>
                                  <mml:mi>∞</mml:mi>
                                </mml:msup>
                                <mml:mrow>
                                  <mml:mo>(</mml:mo>
                                  <mml:msup>
                                    <mml:mrow>
                                      <mml:mi>R</mml:mi>
                                    </mml:mrow>
                                    <mml:mi>n</mml:mi>
                                  </mml:msup>
                                  <mml:mo>)</mml:mo>
                                </mml:mrow>
                              </mml:mrow>
                            </mml:msub>
                            <mml:mrow>
                              <mml:mo>}</mml:mo>
                            </mml:mrow>
                            <mml:mo>≤</mml:mo>
                            <mml:munder>
                              <mml:mo>lim sup</mml:mo>
                              <mml:mrow>
                                <mml:mi>t</mml:mi>
                                <mml:mo>→</mml:mo>
                                <mml:mi>∞</mml:mi>
                              </mml:mrow>
                            </mml:munder>
                            <mml:mrow>
                              <mml:mo>{</mml:mo>
                            </mml:mrow>
                            <mml:msup>
                              <mml:mi>t</mml:mi>
                              <mml:mfrac>
                                <mml:mn>1</mml:mn>
                                <mml:mi>p</mml:mi>
                              </mml:mfrac>
                            </mml:msup>
                            <mml:msub>
                              <mml:mrow>
                                <mml:mo>‖</mml:mo>
                                <mml:mi>u</mml:mi>
                                <mml:mrow>
                                  <mml:mo>(</mml:mo>
                                  <mml:mo>·</mml:mo>
                                  <mml:mo>,</mml:mo>
                                  <mml:mi>t</mml:mi>
                                  <mml:mo>)</mml:mo>
                                </mml:mrow>
                                <mml:mo>‖</mml:mo>
                              </mml:mrow>
                              <mml:mrow>
                                <mml:msup>
                                  <mml:mi>L</mml:mi>
                                  <mml:mi>∞</mml:mi>
                                </mml:msup>
                                <mml:mrow>
                                  <mml:mo>(</mml:mo>
                                  <mml:msup>
                                    <mml:mrow>
                                      <mml:mi>R</mml:mi>
                                    </mml:mrow>
                                    <mml:mi>n</mml:mi>
                                  </mml:msup>
                                  <mml:mo>)</mml:mo>
                                </mml:mrow>
                              </mml:mrow>
                            </mml:msub>
                            <mml:mrow>
                              <mml:mo>}</mml:mo>
                            </mml:mrow>
                            <mml:mo>&lt;</mml:mo>
                            <mml:mi>∞</mml:mi>
                            <mml:mo>.</mml:mo>
                          </mml:mrow>
                        </mml:mtd>
                      </mml:mtr>
                    </mml:mtable>
                  </mml:mrow>
                </mml:math></jats:alternatives></jats:disp-formula>Under a somewhat complementary hypothesis, particularly fulfilled if <jats:inline-formula><jats:alternatives><jats:tex-math>$$\{u_0&gt;0\}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mo>{</mml:mo>
                    <mml:msub>
                      <mml:mi>u</mml:mi>
                      <mml:mn>0</mml:mn>
                    </mml:msub>
                    <mml:mo>&gt;</mml:mo>
                    <mml:mn>0</mml:mn>
                    <mml:mo>}</mml:mo>
                  </mml:mrow>
                </mml:math></jats:alternatives></jats:inline-formula> contains components with arbitrarily small principal eigenvalues of the associated Dirichlet Laplacian, it is finally seen that (0.1) continues to hold also for such not everywhere positive weak solutions.</jats:p>}},
  author       = {{Winkler, Michael}},
  issn         = {{1040-7294}},
  journal      = {{Journal of Dynamics and Differential Equations}},
  keywords     = {{Analysis}},
  number       = {{S1}},
  pages        = {{3--23}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Approaching Critical Decay in a Strongly Degenerate Parabolic Equation}}},
  doi          = {{10.1007/s10884-020-09892-x}},
  volume       = {{36}},
  year         = {{2020}},
}

