Invariance of the Gibbs measure for the Benjamin–Ono equation
Yu Deng
Princeton University, USA
![Invariance of the Gibbs measure for the Benjamin–Ono equation cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jems-volume-17-issue-5.png&w=3840&q=90)
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 , extending the 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