Octavio Paulo Vera Villagran
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.
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Octavio Paulo Vera Villagran Facultad de Ingenieria Universidad Catolica de la Santisima Concepcion Paicavi 3000, Concepcion, Chile email: overa@ucsc.cl Fax: (41)735300 |
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