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arXiv:1912.06620 [math.PR]AbstractReferencesReviewsResources

Propagation of Singularities for the Stochastic Wave Equation

Cheuk Yin Lee, Yimin Xiao

Published 2019-12-13Version 1

We study the existence and propagation of singularities of the solution to a one-dimensional stochastic wave equation (SWE) driven by an additive Gaussian noise that is white in time and colored in space. Our approach is based on general methods for Gaussian processes and the relation between the solution of SWE and the fractional Brownian sheet.

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