Journal of Applied Mathematics 
Volume 2 (2002), Issue 2, Pages 105-108
doi:10.1155/S1110757X02000281

Blowup of solutions of a nonlinear wave equation

Abbes Benaissa1 and Salim A. Messaoudi2

 1Department of Mathematics, Djillali Liabes University, P.O. Box 89, Sidi Bel Abbes 22000, Algeria
2Mathematical Sciences Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
Received 4 April 2001; Revised 20 October 2001

Abstract

We establish a blowup result to an initial boundary value problem for the nonlinear wave equation utt−M(‖B1/2u‖ 2) Bu+kut=|u| p−2, x∈Ω, t>0.