%0 Journal Article
%T Periodic and invariant measures for stochastic wave equations
%A Jong Uhn Kim
%J Electronic Journal of Differential Equations
%D 2004
%I Texas State University
%X We establish the existence of periodic and invariant measures for a semilinear wave equation with random noise. These are counterparts of time-periodic and stationary solutions of a deterministic equation. The key element in our analysis is to prove that the family of probability distributions of a solution is tight.
%K Wave equation
%K Brownian motion
%K periodic measure
%K invariant measure
%K probability distribution
%K tightness.
%U http://ejde.math.txstate.edu/Volumes/2004/05/abstr.html