JournalsjemsVol. 17 , No. 5pp. 1107–1198

Invariance of the Gibbs measure for the Benjamin–Ono equation

  • Yu Deng

    Princeton University, USA
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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 L2L^2, extending the L2L^2 well-posedness result of Molinet [20].

Cite this article

Yu Deng, Invariance of the Gibbs measure for the Benjamin–Ono equation. J. Eur. Math. Soc. 17 (2015), no. 5 pp. 1107–1198

DOI 10.4171/JEMS/528