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

Autor:	Brzezniak, Zdzislaw, Ferrario, Benedetta, Zanella, Margherita
Rok vydání:	2022
Předmět:	Mathematics - Probability 60H15 35R60
Druh dokumentu:	Working Paper
Popis:	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. Comment: 27 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2205.13364 Zobrazit plný text záznamu View this record from Arxiv