Global existence of solutions to a cross-diffusion system in higher dimensional domains
Yi Li, Chunshan Zhao · Discrete and Continuous Dynamical Systems · 2005
We consider a strongly coupled nonlinear parabolic system which arises frompopulation dynamics in $N$-dimensional $(N\geq 1)$ domains. We establishglobal existence of classical solutions under certain restrictions ondiffusion coefficients, self-diffusion coefficients and cross-diffusioncoefficients for both species.