Blow-Up Results for a Nonlinear Hyperbolic Equation with Lewis Function
Department of Mathematics, Shiraz University, Shiraz 71454, Iran
Boundary Value Problems 2009, 2009:691496 doi:10.1155/2009/691496Published: 11 October 2009
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.