New non degenerate invariant measures for the Benjamin–Ono equation
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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| Format: | Article |
| Language: | English |
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Académie des sciences
2024-02-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.536/ |
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| _version_ | 1825206230514139136 |
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| author | Tzvetkov, Nikolay |
| author_facet | Tzvetkov, Nikolay |
| author_sort | Tzvetkov, Nikolay |
| collection | DOAJ |
| description | 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 $H^s$, $s>-1/2$. |
| format | Article |
| id | doaj-art-5814f3ccda0e4829a86b34f408f1e88e |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2024-02-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-5814f3ccda0e4829a86b34f408f1e88e2025-02-07T11:12:53ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-02-01362G1778610.5802/crmath.53610.5802/crmath.536New non degenerate invariant measures for the Benjamin–Ono equationTzvetkov, Nikolay0École Normale Supérieure de Lyon, UMPA, UMR CNRS-ENSL 5669, 46, allée d’Italie, 69364 Lyon Cedex 07, FranceWe 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 $H^s$, $s>-1/2$.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.536/ |
| spellingShingle | Tzvetkov, Nikolay New non degenerate invariant measures for the Benjamin–Ono equation Comptes Rendus. Mathématique |
| title | New non degenerate invariant measures for the Benjamin–Ono equation |
| title_full | New non degenerate invariant measures for the Benjamin–Ono equation |
| title_fullStr | New non degenerate invariant measures for the Benjamin–Ono equation |
| title_full_unstemmed | New non degenerate invariant measures for the Benjamin–Ono equation |
| title_short | New non degenerate invariant measures for the Benjamin–Ono equation |
| title_sort | new non degenerate invariant measures for the benjamin ono equation |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.536/ |
| work_keys_str_mv | AT tzvetkovnikolay newnondegenerateinvariantmeasuresforthebenjaminonoequation |