Ergodic results for the stochastic nonlinear Schr\"odinger equation with large damping
Probability
2022-05-27 v1
Abstract
We study the nonlinear Schr\"odinger equation with linear damping, i.e. a zero order dissipation, and additive noise. Working in with d = 2 or d = 3, we prove the uniqueness of the invariant measure when the damping coefficient is sufficiently large.
Keywords
Cite
@article{arxiv.2205.13364,
title = {Ergodic results for the stochastic nonlinear Schr\"odinger equation with large damping},
author = {Zdzislaw Brzezniak and Benedetta Ferrario and Margherita Zanella},
journal= {arXiv preprint arXiv:2205.13364},
year = {2022}
}
Comments
27 pages