Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 71, pp. 1-24.

Title: Gain of regularity for a Korteweg - de Vries - Kawahara 
       type equation

Author: Octavio Paulo Vera Villagran (Univ. Catolica, Concepcion, Chile)

Abstract:
 We study the existence of local and global solutions, and the gain
 of regularity for the initial value problem associated to the
 Korteweg - de Vries - Kawahara (KdVK) equation perturbed by a
 dispersive term which appears in several fluids dynamics problems.
 The study of gain of regularity is motivated by the results obtained
 by Craig, Kappeler and Strauss [8].
  
Submitted December 15, 2003. Published May 17, 2004.
Math Subject Classifications: 35Q53, 47J35.
Key Words: Evolution equations; weighted Sobolev space.