Propagation of singularities for the stochastic wave equation

Cheuk Yin Lee; Yimin Xiao

doi:10.1016/j.spa.2021.09.013

Propagation of singularities for the stochastic wave equation

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Propagation of singularities for the stochastic wave equation

Cheuk Yin Lee 和 Yimin Xiao

Stochastic Processes and their Applications, 卷.143, 頁碼.31-54

01/2022

DOI: https://doi.org/10.1016/j.spa.2021.09.013

摘要

Law of the iterated logarithm

Singularities

Stochastic wave equation

Statistics and Probability

Modeling and Simulation

Applied Mathematics

We study the existence and propagation of singularities of the solution to a one-dimensional linear stochastic wave equation driven by an additive Gaussian noise that is white in time and colored in space. Our approach is based on a simultaneous law of the iterated logarithm and general methods for Gaussian processes.

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題名: Propagation of singularities for the stochastic wave equation
翻譯題名: Propagation of singularities for the stochastic wave equation
創作者：: Cheuk Yin Lee (作者) - Michigan State University
Yimin Xiao (作者) - Michigan State University
學術資源類型: 期刊文章
出版日期: 01/2022
出版資訊: Stochastic Processes and their Applications, 卷.143, 頁碼.31-54
語言: 英語

Propagation of singularities for the stochastic wave equation

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