On the stochastic wave equation with nonlinear damping (Q1024720)
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scientific article; zbMATH DE number 5565958
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the stochastic wave equation with nonlinear damping |
scientific article; zbMATH DE number 5565958 |
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On the stochastic wave equation with nonlinear damping (English)
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17 June 2009
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This article considers a wave equation with nonlinear damping, driven by Brownian noise. Existence and pathwise uniqueness of solution to the initial-boundary value problem is established. For the special case of pure nonlinear damping, existence of an invariant measure is also established.
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stochastic wave equation
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nonlinear damping
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pathwise unique solution
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invariant measure
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