Approximation diffusion for the nonlinear Schrödinger equation with a random potential
Abstract
We prove that the stochastic Nonlinear Schrödinger (NLS) equation is the limit of NLS equation with random potential with vanishing correlation length. We generalize the perturbed test function method to the context of dispersive equations. Apart from the difficulty of working in infinite dimension, we treat the case of random perturbations which are not assumed uniformly bounded.
Domains
Mathematics [math]| Origin | Files produced by the author(s) |
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