Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects
J. Lankeit, M. Winkler, Journal of Evolution Equations 22 (2022).
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Journal Article
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Author
Lankeit, Johannes;
Winkler, MichaelLibreCat
Abstract
<jats:title>Abstract</jats:title><jats:p>We introduce a generalized concept of solutions for reaction–diffusion systems and prove their global existence. The only restriction on the reaction function beyond regularity, quasipositivity and mass control is special in that it merely controls the growth of cross-absorptive terms. The result covers nonlinear diffusion and does not rely on an entropy estimate.</jats:p>
Publishing Year
Journal Title
Journal of Evolution Equations
Volume
22
Issue
1
Article Number
14
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Lankeit J, Winkler M. Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects. Journal of Evolution Equations. 2022;22(1). doi:10.1007/s00028-022-00768-9
Lankeit, J., & Winkler, M. (2022). Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects. Journal of Evolution Equations, 22(1), Article 14. https://doi.org/10.1007/s00028-022-00768-9
@article{Lankeit_Winkler_2022, title={Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects}, volume={22}, DOI={10.1007/s00028-022-00768-9}, number={114}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Lankeit, Johannes and Winkler, Michael}, year={2022} }
Lankeit, Johannes, and Michael Winkler. “Global Existence in Reaction–Diffusion Systems with Mass Control under Relaxed Assumptions Merely Referring to Cross-Absorptive Effects.” Journal of Evolution Equations 22, no. 1 (2022). https://doi.org/10.1007/s00028-022-00768-9.
J. Lankeit and M. Winkler, “Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects,” Journal of Evolution Equations, vol. 22, no. 1, Art. no. 14, 2022, doi: 10.1007/s00028-022-00768-9.
Lankeit, Johannes, and Michael Winkler. “Global Existence in Reaction–Diffusion Systems with Mass Control under Relaxed Assumptions Merely Referring to Cross-Absorptive Effects.” Journal of Evolution Equations, vol. 22, no. 1, 14, Springer Science and Business Media LLC, 2022, doi:10.1007/s00028-022-00768-9.
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