Construction of a Gibbs measure associated to the periodic Benjamin-Ono equation
Analysis of PDEs
2008-12-11 v2 Probability
Abstract
We define a finite Borel measure of Gibbs type, supported by the Sobolev spaces of negative indexes on the circle. The measure can be seen as a limit of finite dimensional measures. These finite dimensional measures are invariant by the ODE's which correspond to the projection of the Benjamin-Ono equation, posed on the circle, on the first N>>1 modes in the trigonometric bases.
Keywords
Cite
@article{arxiv.math/0610626,
title = {Construction of a Gibbs measure associated to the periodic Benjamin-Ono equation},
author = {N. Tzvetkov},
journal= {arXiv preprint arXiv:math/0610626},
year = {2008}
}
Comments
To appear in Probability Theory and Related Fields