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- W2963295842 abstract "We show that the solutions to the damped stochastic wave equation converge pathwise to the solution of a stochastic heat equation. This is called the Smoluchowski–Kramers approximation. Cerrai and Freidlin have previously demonstrated that this result holds in the cases where the system is exposed to additive noise in any spatial dimension or when the system is exposed to multiplicative noise and the spatial dimension is one. The current paper proves that the Smoluchowski–Kramers approximation is valid in any spatial dimension when the system is exposed to multiplicative noise." @default.
- W2963295842 created "2019-07-30" @default.
- W2963295842 creator A5090792887 @default.
- W2963295842 date "2018-07-17" @default.
- W2963295842 modified "2023-09-25" @default.
- W2963295842 title "Smoluchowski–Kramers approximation for the damped stochastic wave equation with multiplicative noise in any spatial dimension" @default.
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- W2963295842 doi "https://doi.org/10.1007/s40072-018-0123-z" @default.
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