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arXiv · 1203.1188

Approximation of a stochastic wave equation in dimension three, with application to a support theorem in Hölder norm

Francisco J. Delgado-Vences·Marta Sanz-Solé
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Abstract

A characterization of the support in Hölder norm of the law of the solution to a stochastic wave equation with three-dimensional space variable is proved. The result is a consequence of an approximation theorem, in the convergence of probability, for a sequence of evolution equations driven by a family of regularizations of the driving noise.

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Francisco J. Delgado-Vences, Marta Sanz-Solé. 2014-10-23. Approximation of a stochastic wave equation in dimension three, with application to a support theorem in Hölder norm. https://doi.org/10.3150/13-bej554

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