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arXiv · 1605.02014

Existence of invariant measures for the stochastic damped Schr\"odinger equation

Ibrahim Ekren·Igor Kukavica·Mohammed Ziane
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Abstract

In this paper, we address the long time behaviour of solutions of the stochastic Schrodinger equation in $\mathbb{R}^d$. We prove the existence of an invariant measure and establish asymptotic compactness of solutions, implying in particular the existence of an ergodic measure.

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Ibrahim Ekren, Igor Kukavica, Mohammed Ziane. 2016-05-06. Existence of invariant measures for the stochastic damped Schr\"odinger equation. https://arxiv.org/abs/1605.02014

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