Quantitative normal approximations for the stochastic fractional heat equation

DOI10.1007/s40072-021-00198-7zbMath1497.60083arXiv2007.15148OpenAlexW3172313636WikidataQ114219574 ScholiaQ114219574MaRDI QIDQ2125631

Lauri Viitasaari, David Nualart, Obayda Assaad, Ciprian A. Tudor

Publication date: 14 April 2022

Published in: Stochastic and Partial Differential Equations. Analysis and Computations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.15148

zbMATH Keywords

Malliavin calculuscentral limit theoremfractional Laplacianstochastic fractional heat equationStein's method, Gaussian noise

Mathematics Subject Classification ID

Gaussian processes (60G15) Central limit and other weak theorems (60F05) Stochastic calculus of variations and the Malliavin calculus (60H07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Fractional partial differential equations (35R11)

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Spatial average for the solution to the heat equation with Rosenblatt noise ⋮ Spatial integral of the solution to hyperbolic Anderson model with time-independent noise ⋮ The overdamped generalized Langevin equation with Hermite noise ⋮ Exact variation and drift parameter estimation for the nonlinear fractional stochastic heat equation ⋮ Unnamed Item ⋮ On existence and uniqueness of the solution for stochastic partial differential equations

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