Everywhere regularity of solutions to a class of strongly coupled degenerate parabolic systems

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Abstract

A class of strongly coupled degenerate parabolic system is considered. Sufficient conditions will be given to show that bounded weak solutions are Hölder continuous everywhere. The general theory will be applied to a generalized porous media type Shigesada-Kawasaki-Teramoto model in population dynamics.

Original languageEnglish (US)
Pages (from-to)307-324
Number of pages18
JournalCommunications in Partial Differential Equations
Volume31
Issue number2
DOIs
StatePublished - Jan 1 2006

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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