Electronic Journal of Differential Equations,
Vol. 1998(1998), No. 28, pp. 1-10.

Title: A hyperbolic problem with nonlinear second-order boundary damping

Authors: G. G. Doronin (Univ. Federal da Paraiba, Brazil)
         N. A. Larkin (Univ. Estadual de Maringa, Brazil)
         A. J. Souza   (Univ. Federal da Paraiba, Brazil)

Abstract: 
The initial boundary value problem for the wave equation with nonlinear
second-order dissipative boundary conditions is considered. Existence and 
uniqueness of global generalized solutions are proved.

Submitted May 22, 1998. Published October 30, 1998.  
Math Subject Classification: 35A05, 35L20, 35A35, 49M15.
Key Words: Initial Boundary-Value Problem; Faedo-Galerkin Method.