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arxiv: 1203.1188 · v6 · pith:APRZUUDVnew · submitted 2012-03-06 · 🧮 math.PR

Approximation of a stochastic wave equation in dimension three, with application to a support theorem in H\"{o}lder norm

classification 🧮 math.PR
keywords approximationequationldernormstochasticsupporttheoremwave
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A characterization of the support in H\"{o}lder 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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