文章基本信息

标题：Spatial ergodicity of stochastic wave equations in dimensions 1, 2 and 3
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作者：David Nualart ; Guangqu Zheng
期刊名称：Electronic Communications in Probability
印刷版ISSN：1083-589X
出版年度：2020
卷号：25
DOI：10.1214/20-ECP361
语种：English
出版社：Electronic Communications in Probability
摘要：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.
关键词：ergodicity;stochastic wave equation;Malliavin calculus