Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 07, pp. 1-8.

Title: Asymptotic theory for weakly non-linear wave equations 
       in semi-infinite domains

Author: Chirakkal V. Easwaran (State Univ. of New York, New Paltz, USA)

Abstract: 
  We prove the existence and uniqueness of solutions of a class of
  weakly non-linear wave equations in a semi-infinite  region 
  $0\le x$, $t< L/\sqrt{|\epsilon|}$ 
  under arbitrary initial and boundary conditions. 
  We also establish the asymptotic validity of formal perturbation 
  approximations of the solutions in this region.

Submitted November 19, 2003. Published January 2, 2004.
Math Subject Classifications: 35C20, 35L20.
Key Words: Multiple scale; perturbation; non-linear; waves; asymptotic.