Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 491023, 11 pages
doi:10.1155/2010/491023
Research Article

Large Solutions for Semilinear Parabolic Equations Involving Some Special Classes of Nonlinearities

Constantin P. Niculescu and Ionel Rovenţa

Department of Mathematics, University of Craiova, 200585 Craiova, Romania

Received 8 April 2010; Accepted 21 June 2010

Academic Editor: Yong Zhou

Copyright © 2010 Constantin P. Niculescu and Ionel Rovenţa. 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 consider a new class of nonlinearities for which a nonlocal parabolic equation with Neumann boundary conditions has finite time blow-up solutions. Our approach is inspired by previous work done by Jazar and Kiwan (2008) and El Soufi et al. (2007).