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

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.

References in corpus (1)

• Long time dynamics for the one dimensional non linear Schrödinger equation

Cited by in corpus (1)

• Modified energies for the periodic generalized KdV equation and applications