Alexander Kuznetsov, Steklov Institute, Mosca Categorical resolutions and categorical absorptions of singularities Giovedì 18 Gennaio 2024, ore 16:30 Aula 8, Dipartimento di Matematica, via Saldini |
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Alexander Volberg, Michigan State University Quantum learning via harmonic analysis on Boolean cube and cyclic groups Martedì 13 Giugno 2023, ore 16:30 precise Sala di Rappresentanza, Dipartimento di Matematica, Università di Milano |
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Alberto Bressan, The Pennsylvania State University Optimal control of propagation fronts and moving sets Martedì 06 Giugno 2023, ore 16:30 Sala Consiglio 7^ piano, Dipartimento di Matematica ed. 14, Politecnico di Milano |
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Jean-Luc Sauvageot, French National Centre for Scientific Research CNRS · Institut de Mathématiques de Jussieu, Paris Dirichlet forms, Spectral Triples and Fredholm modules in Noncommutative Geometry Lunedì 22 Maggio 2023, ore 16:30 Aula Consiglio 7° piano Edificio 14 La Nave Dipartimento di Matematica Politecnico di Milano |
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Ambrogio Fasoli, Ecole Polytechnique Fédérale de Lausanne Fusion energy, or how to create a star on earth Lunedì 15 Maggio 2023, ore 16:30 precise Aula De Donato |
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Patrick Gerard, Institut de Mathématique d’Orsay Doubly periodic solutions of the Benjamin-Ono equation (Video https://www.youtube.com/watch?v=P2Smd2y9nvs) Martedì 02 Maggio 2023, ore 17:30 precise Sala di Rappresentanza, Dipartimento di Matematica "F. Enriques" |
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Abstract
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We investigate the existence of non trivial doubly periodic solutions of the Benjamin-Ono equation, depending on the space period, the time period, the space average, and the space regularity of the solution. In particular, for doubly periodic solutions with space average 0 and with time period and space period equal to 2\pi, we prove that L^2 regularity implies analyticity, while there exists more such solutions which belong to the Sobolev space H^s for every s<0. The crucial tool is the Birkhoff map for the Benjamin-Ono equation recently obtained in collaboration with T. Kappeler and P. Topalov. |
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