摘要:This paper studies the existence of the random attractor for a Klein-Gordon-Schödinger system under a small ε-random perturbation on a high dimensional infinite lattice. Firstly, we prove the asymptotic compactness of the random dynamical system and obtain the random attractor. Then, by comparing to the case without random perturbation ( ε = 0 ), we show the upper semicontinuity of the attractors.
关键词:random attractor ; stochastic Klein-Gordon-Schrödinger system ; upper semicontinuity