Global existence of solutions to a cross-diffusion system in higher dimensional domains
Yi LiDepartment of Mathematics The University of Iowa Iowa City, IA 52242, USAChunshan ZhaoDepartment of Mathematics Hunan Normal University Changsha, Hunan, P.R. China
2005en
ABI
Abstract
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.
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