ASYMPTOTIC BEHAVIOR OF A STOCHASTIC EVOLUTION PROBLEM IN A VARYING DOMAIN
Mamadou Sango · Stochastic Analysis and Applications · 2002
We study the asymptotic behaviour of the initial boundary value problem for a stochastic partial differential equation in a sequence of perforated domains. We prove that the sequence of solutions of the problem converges in appropriate topologies to the solution of a limit stochastic initial boundary value problem of the same type as the original problem, but containing an additional term expressed in terms of some characteristics of the perforated domain.