Geodesic
Gain of regularity for a Korteweg-de Vries--Kawahara type equation
Electronic Journal of Differential Equations, Tome 2004 (2004).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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].
Classification : 35Q53, 47J35
Keywords: evolution equations, weighted Sobolev space 
@article{EJDE_2004__2004__a196,
     author = {Vera Villagran, Octavio Paulo},
     title = {Gain of regularity for a {Korteweg-de} {Vries--Kawahara} type equation},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2004},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a196/}
}
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Vera Villagran, Octavio Paulo. Gain of regularity for a Korteweg-de Vries--Kawahara type equation. Electronic Journal of Differential Equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a196/