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Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schr\"odinger equation
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2015-08-04
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Abstract
We consider the cubic fourth order nonlinear Schr\"odinger 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.
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