Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schr\"odinger equation
Analysis of PDEs
2016-11-29 v2 Probability
Abstract
We consider the cubic fourth order nonlinear Schr\"odinger equation on the circle. In particular, we prove that the mean-zero Gaussian measures on Sobolev spaces , , are quasi-invariant under the flow.
Keywords
Cite
@article{arxiv.1508.00824,
title = {Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schr\"odinger equation},
author = {Tadahiro Oh and Nikolay Tzvetkov},
journal= {arXiv preprint arXiv:1508.00824},
year = {2016}
}
Comments
41 pages. To appear in Probab. Theory Related Fields