Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 131, pp. 1-13.

Title: A nonlinear transmission problem with time dependent coefficients

Authors: Eugenio Cabanillas Lapa (Univ. Nacional, Lima, Peru)
         Jaime E. Munoz Rivera (Lab. Nacional de Computacao, Brazil)

Abstract: 
 In this article, we consider a nonlinear transmission problem
 for the wave equation with time dependent coefficients and linear
 internal damping. We prove the existence of a global solution and
 its exponential decay. The result is achieved by using the
 multiplier technique and suitable unique continuation
 theorem for the wave equation.

Submitted May 2, 2007. Published October 09, 2007.
Math Subject Classifications: 35B40, 35L70, 45K05.
Key Words: Transmission problem; time dependent coefficients; stability.