IJPAM: Volume 47, No. 2 (2008)

A HYPERBOLIC SYSTEM OF KLEIN GORDON
TYPE WITH ACOUSTIC BOUNDARY CONDITIONS

C.L. Frota$^1$, A. Vicente$^2$
$^1$Department of Mathematics
State University of Maringá
5790, Av. Colombo, Maringá, 87020-900, PR, BRAZIL
e-mail: clfrota@uem.br
$^2$Tech. Exact Sc. Center
State University of Parana West
Rua Universitária, 2069, Cascavel, 85819-110, PR, BRAZIL
e-mail: avicente@unioeste.br


Abstract.We study the initial boundary value problem for a nonlinear hyperbolic system of Klein Gordon type with acoustic boundary conditions on a part of the boundary and Dirichlet boundary conditions on the rest of it.

Received: June 6, 2008

AMS Subject Classification: 35L70, 35L20, 35L05

Key Words and Phrases: Klein Gordon system, acoustic boundary conditions, hyperbolic system

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 47
Issue: 2