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Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation

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 $H^s(\mathbb{T})$, $s > \frac34$, are quasi-invariant under the flow.

preprint2016arXivOpen access
Tadahiro OhNikolay Tzvetkov
math.APmath.PR
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Tadahiro OhNikolay Tzvetkov

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