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

2015/06/11 by Tzvetkov, Nikolay · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1506.03672

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.

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