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arXiv · 2006.10465

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

Dung Le
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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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Dung Le. 2020-06-18. On the Positivity of Weak Solutions to a Class of Cross Diffusion Systems. https://arxiv.org/abs/2006.10465

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