Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation.
Tadahiro OhNikolay Tzvetkov
Published in: Probability theory and related fields (2016)
We consider the cubic fourth order nonlinear Schrödinger equation on the circle. In particular, we prove that the mean-zero Gaussian measures on Sobolev spaces [Formula: see text], [Formula: see text], are quasi-invariant under the flow.