Global existence of solutions to Shigesada-Kawasaki-Teramoto cross-diffusion systems on domains of arbitrary dimensions期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	Phan Van Tuô c

Institution:	School of Mathematics, University of Minnesota, 206 Church Street S.E., Minneapolis, Minnesota 55455

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.

Keywords:	Maximum principles cross-diffusion systems global existence

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