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Approximation of a stochastic wave equation in dimension three, with application to a support theorem in Hölder norm. (English) Zbl 1306.60087
Summary: 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.

60H15 Stochastic partial differential equations (aspects of stochastic analysis)
35R60 PDEs with randomness, stochastic partial differential equations
35L05 Wave equation
65C30 Numerical solutions to stochastic differential and integral equations
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