Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 35, pp. 1-12.

Title: Existence of solutions to the Rosenau and Benjamin-Bona-Mahony
       equation in domains with moving boundary

       
Authors: Rioco K. Barreto (Inst. de Mat., CEP, Brasil)
         Cruz S. Q. de Caldas (Inst. de Mat., CEP, Brasil)
	 Pedro Gamboa (Inst. de Mat., UFRJ, Brasil)
	 Juan Limaco  (Inst. de Mat., UFF, Brasil)
 
Abstract:   
 In this article, we prove the existence of  solutions for
 a hyperbolic equation known as the the Rosenau and
 Benjamin-Bona-Mahony equations. We study increasing, decreasing,
 and mixed non-cylindrical domains.
 Our main tools are the Galerkin method, multiplier techniques,
 and energy estimates.
  
Submitted  April 28, 2003. Published March 11, 2004.
Math Subject Classifications: 35M10, 35B30
Key Words: Benjamin-Bona-Mahony equation; Rosenau equation; 
           noncylindrical domains.