Large deviation principle for the fourth-order stochastic heat equations with fractional noises

DOI10.1007/s10114-010-7366-6zbMath1184.60020OpenAlexW2023125229MaRDI QIDQ2266870

Yiming Jiang, Yong Jin Wang, Ke Hua Shi

Publication date: 26 February 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-7366-6

zbMATH Keywords

regularitylarge deviation principleexistence and uniquenessfractional noisefourth-order stochastic heat equation

Mathematics Subject Classification ID

Large deviations (60F10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (15)

Solving a nonlinear fractional stochastic partial differential equation with fractional noise ⋮ Large deviation for stochastic Cahn-Hilliard partial differential equations ⋮ Stochastic partial differential equation with reflection driven by fractional noises ⋮ On a nonlinear stochastic pseudo-differential equation driven by fractional noise ⋮ Uniqueness and explosion time of solutions of stochastic differential equations driven by fractional Brownian motion ⋮ Central limit theorem and moderate deviations for a perturbed stochastic Cahn–Hilliard equation ⋮ Asymptotic analysis of a kernel estimator for parabolic stochastic partial differential equations driven by fractional noises ⋮ Stochastic generalized Burgers equations driven by fractional noises ⋮ Reflected SPDEs driven by fractional noises ⋮ Weak convergence for the fourth-order stochastic heat equation with fractional noises ⋮ On a semilinear stochastic partial differential equation with double-parameter fractional noises ⋮ On a stochastic heat equation with first order fractional noises and applications to finance ⋮ 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 fourth-order stochastic heat equations with fractional noises

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