On the Positivity of Weak Solutions to a Class of Cross Diffusion Systems
Analysis of PDEs
2020-06-19 v1
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.
Keywords
Cite
@article{arxiv.2006.10465,
title = {On the Positivity of Weak Solutions to a Class of Cross Diffusion Systems},
author = {Dung Le},
journal= {arXiv preprint arXiv:2006.10465},
year = {2020}
}