Global solutions of the cooperative cross-fiffusion systems

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2015, v.22 no.1, pp.75-90

https://doi.org/10.7468/jksmeb.2015.22.1.75

Shim, Seong-A (Department of Mathematics, Sungshin women's University)

Shim, Seong-A. (2015). GLOBAL SOLUTIONS OF THE COOPERATIVE CROSS-DIFFUSION SYSTEMS. 한국수학교육학회지시리즈B:순수및응용수학, 22(1), 75-90, https://doi.org/10.7468/jksmeb.2015.22.1.75

복사

Abstract

In this paper the existence of global solutions of the parabolic cross-diffusion systems with cooperative reactions is obtained under certain conditions. The uniform boundedness of <TEX>$W_{1,2}$</TEX> norms of the local maximal solution is obtained by using interpolation inequalities and comparison results on differential inequalities.

keywords: cross-diffusion systems, cooperative dynamics, existence of global solutions, uniform bound

참고문헌

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논문 상세

Vol.22 No.1

GLOBAL SOLUTIONS OF THE COOPERATIVE CROSS-DIFFUSION SYSTEMS

Global solutions of the cooperative cross-fiffusion systems

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학