Global existence of solutions to a cross-diffusion system in higher dimensional domains
Yi Li - Department of Mathematics, Hunan Normal University, Changsha, Hunan, China (email)
Abstract: We consider a strongly coupled nonlinear parabolic system which arises from population dynamics in $N$-dimensional $(N\geq 1)$ domains. We establish global existence of classical solutions under certain restrictions on diffusion coefficients, self-diffusion coefficients and cross-diffusion coefficients for both species.
Keywords: Global existence, cross-diffusion, self-diffusion, nonlinear parabolic
system, population dynamics, Shigesada-Kawasaki-Teramoto model.
Received: November 2003; Revised: October 2004; Published: December 2004.
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