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

Author: Phan Van Tuôc
Journal: Proc. Amer. Math. Soc. 135 (2007), 3933-3941
MSC (2000): Primary 35B50, 35K50, 35K55, 35K57
DOI: https://doi.org/10.1090/S0002-9939-07-08978-2
Published electronically: August 2, 2007
MathSciNet review: 2341943
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Abstract: We consider a strongly coupled nonlinear parabolic system which arises in population dynamics in -dimensional domains ( $n\geq 1$ ). Global existence of classical solutions under certain restrictions on the coefficients is established.

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