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Asymptotic behavior of stochastic Schrödinger lattice systems driven by nonlinear noise.
- Source :
-
Stochastic Analysis & Applications . 2020, Vol. 38 Issue 2, p213-237. 25p. - Publication Year :
- 2020
-
Abstract
- We study the random dynamics of the N-dimensional stochastic Schrödinger lattice systems with locally Lipschitz diffusion terms driven by locally Lipschitz nonlinear noise. We first prove the existence and uniqueness of solutions and define a mean random dynamical system associated with the solution operators. We then establish the existence and uniqueness of weak pullback random attractors in a Bochner space. We finally prove the existence of invariant measures of the stochastic equation in the space of complex-valued square-summable sequences. The tightness of a family of probability distributions of solutions is derived by the uniform estimates on the tails of the solutions at far field. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 07362994
- Volume :
- 38
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Stochastic Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 141718908
- Full Text :
- https://doi.org/10.1080/07362994.2019.1679646