Well-posedness in $ H^1 $ for  generalized  Benjamin-Ono equations on the circle

Luc Molinet; Francis Ribaud

doi:10.3934/dcds.2009.23.1295

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2009, Volume 23, Issue 4: 1295-1311. Doi: 10.3934/dcds.2009.23.1295

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Well-posedness in $ H^1 $ for generalized Benjamin-Ono equations on the circle

Luc Molinet^1, and
Francis Ribaud^2,

1.
L.A.G.A., Institut Galilée, Université Paris-Nord, 93430 Villetaneuse
2.
Université de Marne–La–Vallée, Equipe d’Analyse et de Mathématiques Appliquées, 5 bd. Descartes, Cité Descartes, Champs-sur-Marne, 77454 Marne-La-Vallée Cedex 2

Received: May 31, 2007

Revised: March 31, 2008

Published: October 2009

Abstract Related Papers Cited by

Abstract

We prove the local-well posedness of the generalized Benjamin-Ono equations in $ H^1(\T) $.

Keywords:

Local well-posedness,
generalized Benjamin-Ono equation.

Mathematics Subject Classification: 35A07, 35Q53.

Citation:

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