Article Contents
Article Contents

Global existence of solutions to a cross-diffusion system in higher dimensional domains

• 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.
Mathematics Subject Classification: 35K55, 35B45, 35K50, 35K60, 35K57, 92B05, 92D25.

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