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Bilinear dispersive
estimates via space-time resonances, I: The one-dimensional
case
Frédéric Bernicot and Pierre Germain |
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Vol. 6 (2013), No. 3, 687–722
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Abstract |
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We prove new bilinear dispersive estimates. They are obtained and described via a bilinear time-frequency analysis following the space-time resonances method, introduced by Masmoudi, Shatah, and the second author. They allow us to understand the large time behavior of solutions of quadratic dispersive equations. |
Keywords
bilinear dispersive estimates , space-time resonances ,
Strichartz inequalities
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Mathematical Subject Classification 2010
Primary: 37L50, 42B20
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Milestones
Received: 21 October 2011
Revised: 25 April 2012
Accepted: 26 June 2012
Published: 11 July 2013
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Authors |
| Frédéric Bernicot | |
| Laboratoire de mathématiques Paul
Painlevé CNRS, Université Lille 1 59655 Villeneuve d’Ascq Cedex France |
Laboratoire Jean Leray CNRS, Universite de Nantes 2, rue de la Houssiniere 44322 Nantes Cedex 3 France |
| http://www.math.sciences.univ-nantes.fr/~bernicot/ | |
| Pierre Germain | |
| Courant Institute of Mathematical
Sciences New York University 251 Mercer Street New York, New York 10012-1185 United States |
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| http://cims.nyu.edu/~pgermain/ | |
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