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• W2600639689 abstract "Partial differential equations with random inputs have become popular models to characterize physical systems with uncertainty coming from imprecise measurement and intrinsic randomness. In this paper, we perform asymptotic rare-event analysis for such elliptic PDEs with random inputs. In particular, we consider the asymptotic regime that the noise level converges to zero suggesting that the system uncertainty is low, but does exist. We develop sharp approximations of the probability of a large class of rare events." @default.
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• W2600639689 date "2018-10-01" @default.
• W2600639689 modified "2023-09-23" @default.
• W2600639689 title "Moderate deviation for random elliptic PDE with small noise" @default.
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• W2600639689 doi "https://doi.org/10.1214/17-aap1373" @default.
• W2600639689 hasPublicationYear "2018" @default.
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