Eugenio Cabanillas Lapa, Jaime E. Muñoz Rivera
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 9, 2007.
Math Subject Classifications: 35B40, 35L70, 45K05.
Key Words: Transmission problem; time dependent coefficients; stability.
Show me the PDF file (233 KB), TEX file, and other files for this article.
 |
Eugenio Cabanillas Lapa Instituto de Investigación de Matemática Facultad de Ciencias Matemáticas Universidad Nacional Mayor de San Marcos, Lima, Peru email: cleugenio@yahoo.com |
|---|---|
 |
Jaime E. Muñoz Rivera Laboratorio Nacional de Computaçao Cientifica Av. Getúlio Vargas, 333, 25651-070-Petropolis, Brazil email: rivera@lncc.br |
Return to the EJDE web page