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October  2009, 23(4): 1295-1311. doi: 10.3934/dcds.2009.23.1295

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, France
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, France

Received  June 2007 Revised  April 2008 Published  November 2008

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: Luc Molinet, Francis Ribaud. Well-posedness in $ H^1 $ for generalized Benjamin-Ono equations on the circle. Discrete & Continuous Dynamical Systems, 2009, 23 (4) : 1295-1311. doi: 10.3934/dcds.2009.23.1295
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