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Open Access Research Article

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

Faramarz Tahamtani

Author Affiliations

Department of Mathematics, Shiraz University, Shiraz 71454, Iran

Boundary Value Problems 2009, 2009:691496  doi:10.1155/2009/691496

Published: 11 October 2009

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.