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Ergodic results for the stochastic nonlinear Schrödinger equation with large damping
Zdzislaw Brzezniak, Benedetta Ferrario, Margherita Zanella · 2022-05-26 · via math.PR updates on arXiv.org

We study the nonlinear Schrödinger 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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