International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 1, Pages 17-26
doi:10.1155/S0161171201005269

Spatial decay estimates for a class of nonlinear damped hyperbolic equations

F. Tahamtani , K. Mosaleheh and K. Seddighi

Department of Mathematics, Shiraz University, Shiraz, Iran

Abstract

This paper is concerned with investigating the spatial decay estimates for a class of nonlinear damped hyperbolic equations. In addition, we compare the solutions of two-dimensional wave equations with different damped coefficients and establish an explicit inequality which displays continuous dependence on this coefficient.