On the Positivity of Weak Solutions to a Class of Cross Diffusion Systems

preprint2020arXivOpen access

Abstract

We establish the positivity of weak (and very weak) solutions to a class of cross diffusion systems which is inspired by models in mathematical biology/ecology, in particular the Shigesada-Kawasaki-Teramoto (SKT) model in population biology. Examples and counterexamples will be provided to show that our contions are near optimal.

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