Ergodic results for the stochastic nonlinear Schrödinger equation with large damping

Published 26 May 2022 in math.PR | (2205.13364v1)

Abstract: We study the nonlinear Schr\"odinger equation with linear damping, i.e. a zero order dissipation, and additive noise. Working in $R^d$ 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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