Hypocoercivity for non-linear infinite-dimensional degenerate stochastic differential equations (Q6571440)
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scientific article; zbMATH DE number 7880261
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hypocoercivity for non-linear infinite-dimensional degenerate stochastic differential equations |
scientific article; zbMATH DE number 7880261 |
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Hypocoercivity for non-linear infinite-dimensional degenerate stochastic differential equations (English)
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12 July 2024
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The authors construct martingale solutions to an infinite-dimensional stochastic second-order in time Langevin equation driven by an additive cylindrical Wiener process and show hypocoercivity (i.e. exponential convergence to equilibrium) of the corresponding transition semigroups with an explicitly computable rate of convergence.
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hypocoercivity
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degenerate diffusion
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Langevin equation
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