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

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

2012-03-06

arxiv.org/abs/1203.1188v3

Mathematics

Probability

60 pages

Scientific paper

A characterization of the support in H\"older norm of the law of the solution
for 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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