Kim, Jong Uhn2021-04-052021-04-052004-01-02Kim, J. U. (2004). Periodic and invariant measures for stochastic wave equations. <i>Electronic Journal of Differential Equations, 2004</i>(5), pp. 1-30.1072-6691https://hdl.handle.net/10877/13324We 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.Text30 pages1 file (.pdf)enAttribution 4.0 InternationalWave equationBrownian motionPeriodic measureInvariant measureProbability distributionTightnessArticle