Ergodic results for the stochastic nonlinear Schr\"odinger equation with large damping
Abstract
We study the nonlinear Schr\"odinger equation with linear damping, i.e. a zero order dissipation, and additive noise. Working in Rd with d = 2 or d = 3, we prove the uniqueness of the invariant measure when the damping coefficient is sufficiently large.
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