GLOBAL SOLUTIONS TO CROSS DIFFUSION PARABOLIC SYSTEMS ON 2D DOMAINS.

This paper studies global existence of cross diffusion systems on 2-dimensional domains. We assume a quadratic growth on the reaction part and show that a solution exists globally if and only if its total reaction energy does not blow up in finite time. Applications to cross diffusion systems with Lotka-Volterra reaction are presented. [ABSTRACT FROM AUTHOR]