On global existence of solutions to a cross-diffusion system

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:343

Article

Van Tuoc, Phan¹ 

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55454 USA

关键词: gradient estimates;    a priori estimates;    global existence;    cross-diffusion;    self-diffusion;    nonlinear parabolic systems;    population dynamics;   

DOI  :  10.1016/j.jmaa.2008.01.089

来源: Elsevier

【 摘 要 】

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. (c) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

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