On the analytic Birkhoff normal form of the Benjamin–Ono equation and applications

On the analytic Birkhoff normal form of the Benjamin–Ono equation and applications

In this paper we prove that the Benjamin–Ono equation admits an analytic Birkhoff normal form in an open neighborhood of zero in H0s(T,R) for any s>−1/2 where H0s(T,R) denotes the subspace of the Sobolev space Hs(T,R) of elements with mean 0. As an application we show that for any −1/2

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Veröffentlicht in:Nonlinear analysis 2022-03, Vol.216, p.112687, Article 112687
Hauptverfasser: Gérard, Patrick, Kappeler, Thomas, Topalov, Petar
Format: Artikel
Sprache:eng
Schlagworte:
Analytic Birkhoff normal form
Benjamin–Ono equation
Nowhere locally uniformly continuous maps
Solution map
Well-posedness
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Zusammenfassung:In this paper we prove that the Benjamin–Ono equation admits an analytic Birkhoff normal form in an open neighborhood of zero in H0s(T,R) for any s>−1/2 where H0s(T,R) denotes the subspace of the Sobolev space Hs(T,R) of elements with mean 0. As an application we show that for any −1/2
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2021.112687