[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7468/jksmeb.2015.22.1.75

GLOBAL SOLUTIONS OF THE COOPERATIVE CROSS-DIFFUSION SYSTEMS

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

Publication Information

The Pure and Applied Mathematics / v.22, no.1, 2015 , pp. 75-90 More about this Journal

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 $W_{1,2}$ 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;

Citations & Related Records

Reference

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