Strichartz estimates for water waves

Thomas Alazard; Nicolas Burq; Claude Zuily

doi:10.24033/asens.2156

Strichartz estimates for water waves

Thomas Alazard
, Nicolas Burq
, Claude Zuily

Université Paris-Saclay

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

In this paper we investigate the dispersive properties of the solutions of the two dimensional water-waves system with surface tension. First we prove Strichartz type estimates with loss of derivatives at the same low level of regularity we were able to construct the solutions in [2]. On the other hand, for smoother initial data, we prove that the solutions enjoy the optimal Strichartz estimates (i.e, without loss of regularity compared to the system linearized at (η = 0, Ψ = 0)).

langue originale	Anglais
Pages (de - à)	855-903
Nombre de pages	49
journal	Annales Scientifiques de l'Ecole Normale Superieure
Volume	44
Numéro de publication	5
Les DOIs	https://doi.org/10.24033/asens.2156
état	Publié - 1 janv. 2011
Modification externe	Oui

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10.24033/asens.2156

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title = "Strichartz estimates for water waves",

abstract = "In this paper we investigate the dispersive properties of the solutions of the two dimensional water-waves system with surface tension. First we prove Strichartz type estimates with loss of derivatives at the same low level of regularity we were able to construct the solutions in [2]. On the other hand, for smoother initial data, we prove that the solutions enjoy the optimal Strichartz estimates (i.e, without loss of regularity compared to the system linearized at (η = 0, Ψ = 0)).",

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Strichartz estimates for water waves

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