# Invariance of the Gibbs measure for the Benjamin–Ono equation

Journal of the European Mathematical Society (2015)

- Volume: 017, Issue: 5, page 1107-1198
- ISSN: 1435-9855

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topDeng, Yu. "Invariance of the Gibbs measure for the Benjamin–Ono equation." Journal of the European Mathematical Society 017.5 (2015): 1107-1198. <http://eudml.org/doc/277519>.

@article{Deng2015,

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].},

author = {Deng, Yu},

journal = {Journal of the European Mathematical Society},

keywords = {Benjamin–Ono equation; Gibbs measure; measure invariance; global well-posedness; Benjamin-Ono equation; Gibbs measure; measure invariance; global well-posedness},

language = {eng},

number = {5},

pages = {1107-1198},

publisher = {European Mathematical Society Publishing House},

title = {Invariance of the Gibbs measure for the Benjamin–Ono equation},

url = {http://eudml.org/doc/277519},

volume = {017},

year = {2015},

}

TY - JOUR

AU - Deng, Yu

TI - Invariance of the Gibbs measure for the Benjamin–Ono equation

JO - Journal of the European Mathematical Society

PY - 2015

PB - European Mathematical Society Publishing House

VL - 017

IS - 5

SP - 1107

EP - 1198

AB - 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].

LA - eng

KW - Benjamin–Ono equation; Gibbs measure; measure invariance; global well-posedness; Benjamin-Ono equation; Gibbs measure; measure invariance; global well-posedness

UR - http://eudml.org/doc/277519

ER -

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