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

Francisco Delgado-Vences, Marta Sanz-Solé

Published 2012-03-06, updated 2013-09-10Version 5

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.