Delgado Vences, Francisco JavierSanz-Solé, Marta2017-10-112017-10-112016-081350-7265https://hdl.handle.net/2445/116485This paper is a continuation of (Bernoulli 20 (2014) 2169-2216) where we prove a characterization of the support in Hölder norm of the law of the solution to a stochastic wave equation with three-dimensional space variable and null initial conditions. Here, we allow for non-null initial conditions and, therefore, the solution does not possess a stationary property in space. As in (Bernoulli 20 (2014) 2169-2216), the support theorem is a consequence of an approximation result, in the convergence of probability, of a sequence of evolution equations driven by a family of regularizations of the driving noise. However, the method of the proof differs from (Bernoulli 20 (2014) 2169-2216) since arguments based on the stationarity property of the solution cannot be used.26 p.application/pdfeng(c) ISI/BS, International Statistical Institute, Bernoulli Society, 2016Anàlisi estocàsticaEquacions en derivades parcialsAnalyse stochastiquePartial differential equationsApproximation of a stochastic wave equation in dimension three, with application to a support theorem in Hölder norm: the non-stationary caseinfo:eu-repo/semantics/article6462072017-10-11info:eu-repo/semantics/openAccess