The Stochastic Nonlinear Damped Wave Equation
Journal Article
·
· Applied Mathematics and Optimization
We prove the existence of an invariant measure for the transition semigroup associated with a nonlinear damped stochastic wave equation in R{sup n} of the Klein-Gordon type. The uniqueness of the invariant measure and the structure of the corresponding Kolmogorov operator are also studied.
- OSTI ID:
- 21064244
- Journal Information:
- Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 2-3 Vol. 46; ISSN 0095-4616
- Country of Publication:
- United States
- Language:
- English
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