Asymptotic Behavior of Stochastic Partly Dissipative Lattice Systems in Weighted Spaces

Abstract EN

We study stochastic partly dissipative lattice systems with random coupled coefficients and multiplicative/additive white noise in a weighted space of infinite sequences.

We first show that these stochastic partly dissipative lattice differential equations generate a random dynamical system.

We then establish the existence of a tempered random bounded absorbing set and a global compact random attractor for the associated random dynamical system.