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In this paper, we characterize the topological support in Holder norm of thelaw of the solution to a stochastic wave equation with three-dimensional spacevariable is proved. This note is a continuation of [9] and [10]. The result isa consequence of an approximation theorem, in the convergence of probability,for a sequence of evolution equations driven by a family of regularizations ofthe driving noise. We extend two previous results on this subject. The firstextension is that we cover the case of multiplicative noise and non-zeroinitial conditions. The second extension is related to the covariance functionassociated with the noise, here we follow the approach of Hu, Huang and Nualartand ask conditions in terms the of the mean Holder continuity of suchcovariance function.

A proof of a support theorem for stochastic wave equations in Holder norm with some general noises

A proof of a support theorem for stochastic wave equations in Holder norm with some general noises