PROPERTIES OF POSITIVE SOLUTIONS FOR A NONLOCAL REACTION-DIFFUSION EQUATION WITH NONLOCAL NONLINEAR BOUNDARY CONDITION

- Journal title : Journal of the Korean Mathematical Society
- Volume 47, Issue 6, 2010, pp.1317-1328
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2010.47.6.1317

Title & Authors

PROPERTIES OF POSITIVE SOLUTIONS FOR A NONLOCAL REACTION-DIFFUSION EQUATION WITH NONLOCAL NONLINEAR BOUNDARY CONDITION

Mu, Chunlai; Liu, Dengming; Zhou, Shouming;

Mu, Chunlai; Liu, Dengming; Zhou, Shouming;

Abstract

In this paper, we study the properties of positive solutions for the reaction-diffusion equation = in with nonlocal nonlinear boundary condition u (x, t) = and nonnegative initial data (x), where p, q, k, l > 0. Some conditions for the existence and nonexistence of global positive solutions are given.

Keywords

reaction-diffusion equation;global existence;blow-up;nonlocal nonlinear boundary condition;

Language

English

Cited by

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