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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(핋), s>3/4, are quasi-invariant under the flow.
|Number of pages||48|
|Journal||Probability theory and related fields|
|Early online date||23 Dec 2016|
|Publication status||Published - Dec 2017|
- fourth order nonlinear Schrödinger equation
- biharmonic nonlinear Schrödinger equation
- Gaussian measure
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- 1 Finished
ProbDynDispEq - Probabilistic and Dynamical Study of Nonlinear Dispersive Equations
1/03/15 → 29/02/20