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arXiv · 1210.1542

Invariance of the Gibbs measure for the Benjamin-Ono equation

Yu Deng
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Abstract

In this paper we consider the periodic Benjemin-Ono equation. We will establish the invariance of the Gibbs measure associated to this equation, thus answering a question raised in Tzvetkov [20]. 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 [14].

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Yu Deng. 2012-10-04. Invariance of the Gibbs measure for the Benjamin-Ono equation. https://arxiv.org/abs/1210.1542

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