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On the stochastic nonlinear Schrodinger equation

Millet, A (SAMM)
Thursday 01 July 2010, 16:30-17.20

Seminar Room 1, Newton Institute


We consider a non linear Schrodinger equation on a compact manifold of dimension d subject to some multiplicative random perturbation. Using some stochastic Strichartz inequality, we prove the existence and uniqueness of a maximal solution in H^1 under some general conditions on the diffusion coefficient. Under stronger conditions on the noise, the nonlinearity and the diffusion coefficient, we deduce the existence of a global solution when d=2. This is a joint work with Z. Brzezniak.


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