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arXiv · 2205.13364

Ergodic results for the stochastic nonlinear Schr\"odinger equation with large damping

Zdzislaw Brzezniak·Benedetta Ferrario·Margherita Zanella
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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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Zdzislaw Brzezniak, Benedetta Ferrario, Margherita Zanella. 2022-05-26. Ergodic results for the stochastic nonlinear Schr\"odinger equation with large damping. https://arxiv.org/abs/2205.13364

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