Invariance of the Gibbs measure for the Benjamin–Ono equation

Deng, 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 -