Global existence of solutions to Shigesada-Kawasaki-Teramoto cross-diffusion systems on domains of arbitrary dimensions

Tuộc, Phan

doi:10.1090/S0002-9939-07-08978-2

Global existence of solutions to Shigesada-Kawasaki-Teramoto cross-diffusion systems on domains of arbitrary dimensions
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by Phan Văn Tuộc PDF

Proc. Amer. Math. Soc. 135 (2007), 3933-3941 Request permission

Abstract:

We consider a strongly coupled nonlinear parabolic system which arises in population dynamics in $n$-dimensional domains ($n\geq 1$). Global existence of classical solutions under certain restrictions on the coefficients is established.

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