Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 05, pp. 1-30.

Title: Periodic and invariant measures for stochastic wave equations

Author: Jong Uhn Kim (Virginia Tech, Blacksburg, VA, USA)

Abstract: 
 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.

Submitted December 15, 2002. Published January 2, 2004.
Math Subject Classifications: 35L65, 35R60, 60H15.
Key Words: Wave equation; Brownian motion; periodic measure; 
           invariant measure; probability distribution; tightness.