Properties of positive solution for nonlocal reaction-diffusion equation with nonlocal boundary

This paper considers the properties of positive solutions for a nonlocal equation with nonlocal boundary condition u(x, t) = integral(Omega)f(x, y)u(y, t)dy on partial derivative Omega x (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. Copyright (c) 2007 YulanWang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.