Title

Global Existence of Solutions to a Cross-Diffusion System in Higher Dimensional Domains

Document Type

Article

Publication Date

2-2005

Abstract

We consider a strongly coupled nonlinear parabolic system which arises from population dynamics in N-dimensional (N ≥ 1) domains. We establish global existence of classical solutions under certain restrictions on diffusion coefficients, self-diffusion coefficients and cross-diffusion coefficients for both species.

DOI

10.3934/dcds.2005.12.185

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