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Abstract and Applied Analysis
Volume 2013, Article ID 746086, 7 pages
Research Article

Blowup for Nonlocal Nonlinear Diffusion Equations with Dirichlet Condition and a Source

1School of Mathematical Sciences, Capital Normal University, Beijing 100048, China
2School of Mathematical Sciences, Beijing Institute of Technology, Beijing 100081, China

Received 4 June 2013; Accepted 25 September 2013

Academic Editor: Julio Rossi

Copyright © 2013 Guosheng Zhang and Yifu Wang. 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.


This paper is concerned with a nonlocal nonlinear diffusion equation with Dirichlet boundary condition and a source , , , , , , and , , which is analogous to the local porous medium equation. First, we prove the existence and uniqueness of the solution as well as the validity of a comparison principle. Next, we discuss the blowup phenomena of the solution to this problem. Finally, we discuss the blowup rates and sets of the solution.