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Invariance of the Gibbs measure for the Benjamin–Ono equation

Yu Deng

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Source: Crossref

Published: May 7, 2015

DOI: 10.4171/jems/528

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Source abstract

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 L^2 , extending the L^2 well-posedness result of Molinet [20].

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