English

Quasi-invariant gaussian measures for one dimensional Hamiltonian PDE's

Analysis of PDEs 2015-06-12 v1 Probability

Abstract

We prove the quasi-invariance of gaussian measures (supported by functions of increasing Sobolev regularity) under the flow of one dimensional Hamiltonian PDE's such as the regularized long wave (BBM) equation.

Keywords

Cite

@article{arxiv.1506.03672,
  title  = {Quasi-invariant gaussian measures for one dimensional Hamiltonian PDE's},
  author = {Nikolay Tzvetkov},
  journal= {arXiv preprint arXiv:1506.03672},
  year   = {2015}
}