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ON GLOBAL EXISTENCE OF SOLUTIONS TO A CROSS-DIFFUSION SYSTEM By

By Phan Vǎn Tuô C

Abstract

CROSS-DIFFUSION SYSTEM PHAN V ĂN TUÔ. C Abstract. We consider a strongly coupled nonlinear parabolic system which arises in population dynamics in n−dimensional domains (n ≥ 1). We prove the global existence of classical solutions to the system for n < 10. 1. Introduction. Modeling spatial segregation phenomena of competing species in population dynamics, Shigesada, Kawasaki and Teramoto proposed [17] in 1979 to study some nonlinear parabolic systems which include the following proble

Year: 2006
OAI identifier: oai:CiteSeerX.psu:10.1.1.163.6217
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