Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 91, pp. 1-22.

Title: Existence of global solutions to a quasilinear
       wave equation with general nonlinear damping
        
Authors: Mohammed Aassila (Univ.  zu Koln, Germany)
         Abbes Benaissa (Univ. Djillali Liabes, Algeria)
         
Abstract: 
  In this paper we prove the existence of a global solution
  and study its decay for the solutions to a quasilinear wave
  equation with a general nonlinear dissipative term by
  constructing a stable set in $H^{2}\cap H_{0}^{1}$.
     
Submitted July 02, 2002. Published October 26, 2002.
Math Subject Classifications: 35B40, 35L70, 35B37.
Key Words: Quasilinear wave equation; global existence; 
           asymptotic behavior; nonlinear dissipative term;
           multiplier method.