@article{Lin2023, 
author = {Rou Lin and Min Zhao and Jinlu Zhang},
title = {Random uniform exponential attractors for non-autonomous stochastic Schrödinger lattice systems in weighted space},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {2},
pages = {2871-2890},
keywords = {weighted space, multiplicative white noise, random uniform exponential attractor, non-autonomous Schrödinger lattice system, quasi-periodic force},
url = {https://www.sciopen.com/article/10.3934/math.2023150},
doi = {10.3934/math.2023150},
abstract = {We mainly study the existence of random uniform exponential attractors for non-autonomous stochastic Schrödinger lattice system with multiplicative white noise and quasi-periodic forces in weighted spaces. Firstly, the stochastic Schrödinger system is transformed into a random system without white noise by the Ornstein-Uhlenbeck process, whose solution generates a jointly continuous non-autonomous random dynamical system    Φ. Secondly, we prove the existence of a uniform absorbing random set for    Φ in weighted spaces. Finally, we obtain the existence of a random uniform exponential attractor for the considered system    Φ in weighted space.}
}