SOME TYPES OF REACTION-DIFFUSION SYSTEMS WITH NONLOCAL BOUNDARY CONDITIONS

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 50, Issue 6, 2013, pp.1765-1780
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2013.50.6.1765

Title & Authors

SOME TYPES OF REACTION-DIFFUSION SYSTEMS WITH NONLOCAL BOUNDARY CONDITIONS

Han, Yuzhu; Gao, Wenjie;

Han, Yuzhu; Gao, Wenjie;

Abstract

This paper deals with some types of semilinear parabolic systems with localized or nonlocal sources and nonlocal boundary conditions. The authors first derive some global existence and blow-up criteria. And then, for blow-up solutions, they study the global blow-up property as well as the precise blow-up rate estimates, which has been seldom studied until now.

Keywords

localized source;nonlocal source;nonlocal boundary condition;blow-up profile;blow-up rate;

Language

English

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