Moderate deviations for a stochastic heat equation with spatially correlated noise

DOI10.1007/s10440-014-9969-xzbMath1323.60085OpenAlexW2037716263MaRDI QIDQ499737

Shuguang Zhang, Ran Wang, Yu-meng Li

Publication date: 6 October 2015

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-014-9969-x

zbMATH Keywords

random fieldstochastic heat equationcentral limit theoremmoderate deviationsFreidlin-Wentzell's large deviation principle

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Central limit and other weak theorems (60F05) Large deviations (60F10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Limit theorems in probability theory (60F99)

Related Items (6)

Transportation inequalities under uniform metric for a stochastic heat equation driven by time-white and space-colored noise ⋮ Moderate deviations for stochastic heat equation with rough dependence in Space ⋮ Moderate deviation and central limit theorem for stochastic differential delay equations with polynomial growth ⋮ Moderate deviations for stochastic fractional heat equation driven by fractional noise ⋮ Moderate deviations for a class of semilinear SPDE with fractional noises ⋮ Moderate deviations for a fractional stochastic heat equation with spatially correlated noise

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