Periodic and invariant measures for stochastic wave equations
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Date
2004-01-02
Authors
Kim, Jong Uhn
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
Wave equation, Brownian motion, Periodic measure, Invariant measure, Probability distribution, Tightness
Citation
Kim, J. U. (2004). Periodic and invariant measures for stochastic wave equations. <i>Electronic Journal of Differential Equations, 2004</i>(5), pp. 1-30.
Rights
Attribution 4.0 International