Geodesic
Invariance of the Gibbs measure for the Benjamin–Ono equation
Journal of the European Mathematical Society, Tome 17 (2015) no. 5, pp. 1107-1198.

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In this paper we consider the periodic Benjemin-Ono equation.We establish the invariance of the Gibbs measure associated to this equation, thus answering a question raised in Tzvetkov [28]. As an intermediate step, we also obtain a local well-posedness result in Besov-type spaces rougher than L2, extending the L2 well-posedness result of Molinet [20].
DOI : 10.4171/jems/528
Classification : 37-XX, 35-XX
Keywords: Benjamin–Ono equation, Gibbs measure, measure invariance, global well-posedness 
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     title = {Invariance of the {Gibbs} measure for the {Benjamin{\textendash}Ono} equation},
     journal = {Journal of the European Mathematical Society},
     pages = {1107--1198},
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     year = {2015},
     doi = {10.4171/jems/528},
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Yu Deng. Invariance of the Gibbs measure for the Benjamin–Ono equation. Journal of the European Mathematical Society, Tome 17 (2015) no. 5, pp. 1107-1198. doi : 10.4171/jems/528. http://geodesic.mathdoc.fr/articles/10.4171/jems/528/

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