Averaging 2D stochastic wave equation

DOI10.1214/21-EJP672zbMath1477.60095arXiv2003.10346MaRDI QIDQ2243912

Guangqu Zheng, David Nualart, Raul Bolaños Guerrero

Publication date: 11 November 2021

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.10346

zbMATH Keywords

central limit theoremRiesz kernelstochastic wave equationMalliavin-Stein method

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)

Related Items (11)

Central limit theorems for stochastic wave equations in dimensions one and two ⋮ Spatial integral of the solution to hyperbolic Anderson model with time-independent noise ⋮ Almost sure central limit theorems for stochastic wave equations ⋮ Central limit theorems for heat equation with time-independent noise: The regular and rough cases ⋮ Gaussian fluctuation for spatial average of super-Brownian motion ⋮ Averaging principle for the wave equation driven by a stochastic measure ⋮ Unnamed Item ⋮ Quantitative central limit theorems for the parabolic Anderson model driven by colored noises ⋮ The hyperbolic Anderson model: moment estimates of the Malliavin derivatives and applications ⋮ Stratonovich solution for the wave equation ⋮ Gaussian fluctuation for spatial average of parabolic Anderson model with Neumann/Dirichlet/periodic boundary conditions

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