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2020 Spatial ergodicity of stochastic wave equations in dimensions 1, 2 and 3
David Nualart, Guangqu Zheng
Electron. Commun. Probab. 25: 1-11 (2020). DOI: 10.1214/20-ECP361

Abstract

In this note, we study a large class of stochastic wave equations with spatial dimension less than or equal to $3$. Via a soft application of Malliavin calculus, we establish that their random field solutions are spatially ergodic.

Citation

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David Nualart. Guangqu Zheng. "Spatial ergodicity of stochastic wave equations in dimensions 1, 2 and 3." Electron. Commun. Probab. 25 1 - 11, 2020. https://doi.org/10.1214/20-ECP361

Information

Received: 24 July 2020; Accepted: 6 November 2020; Published: 2020
First available in Project Euclid: 9 December 2020

MathSciNet: MR4187721
Digital Object Identifier: 10.1214/20-ECP361

Subjects:
Primary: 37A25, 60H07, 60H15

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