Comptes Rendus
Research article - Partial differential equations
New non degenerate invariant measures for the Benjamin–Ono equation
Nikolay Tzvetkov1
1 École Normale Supérieure de Lyon, UMPA, UMR CNRS-ENSL 5669, 46, allée d’Italie, 69364 Lyon Cedex 07, France
Comptes Rendus. Mathématique, Volume 362 (2024), pp. 77-86.

We show that the recent work by Gérard–Kappeler–Topalov can be used in order to construct new non degenerate invariant measures for the Benjamin–Ono equation on the Sobolev spaces H s , s>-1/2.

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DOI: 10.5802/crmath.536

Nikolay Tzvetkov 1

1 École Normale Supérieure de Lyon, UMPA, UMR CNRS-ENSL 5669, 46, allée d’Italie, 69364 Lyon Cedex 07, France
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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     title = {New non degenerate invariant measures for the {Benjamin{\textendash}Ono} equation},
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Nikolay Tzvetkov. New non degenerate invariant measures for the Benjamin–Ono equation. Comptes Rendus. Mathématique, Volume 362 (2024), pp. 77-86. doi : 10.5802/crmath.536. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.536/

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