%0 Journal Article
%T Uniform Blow-Up Rates and Asymptotic Estimates of Solutions for Diffusion Systems with Nonlocal Sources
%A Zhoujin Cui
%A Zuodong Yang
%J International Journal of Differential Equations
%D 2007
%I Hindawi Publishing Corporation
%R 10.1155/2007/87696
%X This paper investigates the local existence of the nonnegative solution and the finite time blow-up of solutions and boundary layer profiles of diffusion equations with nonlocal reaction sources; we also study the global existence and that the rate of blow-up is uniform in all compact subsets of the domain, the blow-up rate of |u(t)|∞ is precisely determined.
%U http://www.hindawi.com/journals/ijde/2007/087696/abs/