A strongly coupled cross-diffusion model for two competing species in a heterogeneous environment is analyzed. We sketch the proof of an existence result for the evolution problem with non-flux boundary conditions in one space dimension, completing previous results [4]. The proof is based on a symmetrization of the problem via an exponential transformation of variables and the use of an entropy functional.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc63-0-9,
author = {Gonzalo Galiano and Ansgar J\"ungel},
title = {Global existence of solutions for a strongly coupled population system},
journal = {Banach Center Publications},
volume = {60},
year = {2003},
pages = {209-216},
zbl = {1065.35149},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc63-0-9}
}
Gonzalo Galiano; Ansgar Jüngel. Global existence of solutions for a strongly coupled population system. Banach Center Publications, Tome 60 (2003) pp. 209-216. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc63-0-9/