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. Electronic Journal of Differential Equations, 2004(5), pp. 1-30.
Rights
Attribution 4.0 International