## Differential and Integral Equations

### Global solutions to boundary value problems for a nonlinear wave equation in high space dimensions

#### Abstract

In this article we consider an initial--boundary value problem for a wave equation in high dimensions with a nonlinear damping term that is not Lipschitz in $u_t$. We establish the existence and uniqueness of a global solution by using a compactness method and by exploiting the monotonicity property of the nonlinearity.

#### Article information

Source
Differential Integral Equations, Volume 14, Number 11 (2001), 1315-1331.

Dates
First available in Project Euclid: 21 December 2012