Abstract and Applied Analysis
Volume 2010 (2010), Article ID 148035, 17 pages
doi:10.1155/2010/148035
Research Article

Blowup Properties for a Semilinear Reaction-Diffusion System with Nonlinear Nonlocal Boundary Conditions

Dengming Liu and Chunlai Mu

College of Mathematics and Statistics, Chongqing University, Chongqing 400044, China

Received 15 December 2009; Revised 1 April 2010; Accepted 26 April 2010

Academic Editor: Yoshikazu Giga

Copyright © 2010 Dengming Liu and Chunlai Mu. 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.

Abstract

We investigate the blowup properties of the positive solutions for a semilinear reaction-diffusion system with nonlinear nonlocal boundary condition. We obtain some sufficient conditions for global existence and blowup by utilizing the method of subsolution and supersolution.