Asymptotic Behavior of Stochastic Lattice Differential Equations in Weighted Spaces

Monday, December 3, 2012 - 11:30am - 12:20pm
Keller 3-180
Xiaoying (Maggie) Han (Auburn University)
Random attractor is an important concept to describe long term behavior of solutions for a given stochastic system. In this talk we will first provide sufficient conditions for the existence of a global compact random attractors for
general dynamical systems in weighted space of infinite sequences. We then apply the result to show the existence of a unique global compact random attractor for first order, second order and partly dissipative stochastic lattice
differential equations with random coupled coefficients and
multiplicative/additive white noise in weighted spaces.