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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.

MSC:
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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