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Moderate Deviations for Stochastic Heat Equation with Rough Dependence in Space

作者:Jun; Feng; LIUstochasticheatequationfractionalbrownianmotionmoderatedeviationsweakconvergenceapproach

摘要:In this paper, we establish a moderate deviation principle for the stochastic heat equation driven by a Gaussian noise which is white in time and which has the covariance of a fractional Brownian motion with Hurst parameter H ∈(1/4, 1/2) in the space variable. The weak convergence approach plays an important role.

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数学学报

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