Ergodic results for the stochastic nonlinear Schrodinger equation with large damping

被引：7
|
作者：
Brzezniak, Zdzislaw [1 ]
Ferrario, Benedetta [2 ]
Zanella, Margherita [3 ]
机构：
[1] Univ York, Dept Math, York YO10 5DD, England
[2] Univ Pavia, Dipartimento Sci Econ & Aziendali, I-27100 Pavia, Italy
[3] Politecn Milan, Dipartimento Matemat Francesco Brioschi, Via Bonardi 13, I-20133 Milan, Italy
来源：
JOURNAL OF EVOLUTION EQUATIONS | 2023年 / 23卷 / 01期
关键词：
Nonlinear Schrodinger equation; Additive noise; Unique invariant measure; Ergodicity; INVARIANT-MEASURES;
D O I：
10.1007/s00028-023-00870-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a nonlinear Schrodinger equation with a linear damping, i.e. a zero-order dissipation, and an additive noise. Working in R-d with d <= 3, we prove the uniqueness of the invariant measure when the damping coefficient is sufficiently large.
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页数：31
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