Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Johannes Lankeit
  • Michael Winkler

Research Organisations

External Research Organisations

  • Paderborn University
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Details

Original languageEnglish
Article number14
JournalJournal of Evolution Equations
Volume22
Issue number1
Publication statusPublished - 2 Mar 2022

Abstract

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.

Keywords

    math.AP, 35K57, 35D99, 35K59, Reaction–diffusion equation, Global existence, Renormalized solution

ASJC Scopus subject areas

Cite this

Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects. / Lankeit, Johannes; Winkler, Michael.
In: Journal of Evolution Equations, Vol. 22, No. 1, 14, 02.03.2022.

Research output: Contribution to journal › Article › Research › peer review

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