Octavio Paulo Vera Villagran
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 .
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: email@example.com Fax: (41)735300
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