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arXiv · 2007.12465

Spatial ergodicity of stochastic wave equations in dimensions 1,2 and 3

David Nualart·Guangqu Zheng
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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.

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David Nualart, Guangqu Zheng. 2020-07-24. Spatial ergodicity of stochastic wave equations in dimensions 1,2 and 3. https://doi.org/10.1214/20-ecp361

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