Boundary Value Problems
Volume 2009 (2009), Article ID 691496, 9 pages
doi:10.1155/2009/691496
Research Article

Blow-Up Results for a Nonlinear Hyperbolic Equation with Lewis Function

Faramarz Tahamtani

Department of Mathematics, Shiraz University, Shiraz 71454, Iran

Received 17 February 2009; Accepted 28 September 2009

Academic Editor: Gary Lieberman

Copyright © 2009 Faramarz Tahamtani. 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

The initial boundary value problem for a nonlinear hyperbolic equation with Lewis function in a bounded domain is considered. In this work, the main result is that the solution blows up in finite time if the initial data possesses suitable positive energy. Moreover, the estimates of the lifespan of solutions are also given.