Boundary Value Problems
Volume 2007 (2007), Article ID 64579, 12 pages
doi:10.1155/2007/64579
Properties of positive solution for nonlocal reaction-diffusion equation with nonlocal boundary
Yulan Wang1
, Chunlai Mu2
and Zhaoyin Xiang3
1School of Mathematics and Computer Engineering, Xihua University, Chengdu 610039, China
2Department of Mathematics, Sichuan University, Chengdu 610064, China
3School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, China
Abstract
This paper considers the properties of positive solutions for a nonlocal equation with nonlocal boundary condition u(x,t)=∫Ωf(x,y)u(y,t)dy on ∂Ω×(0,T). The conditions on the existence and nonexistence of global positive solutions are given. Moreover, we establish the uniform blow-up estimates for the blow-up solution.