Regularity of the sample paths of a class of second-order SPDE"s

We study the sample path regularity of the solutions of a class of spde’s which are second order in time and that includes the stochastic wave equation. Non-integer powers of the spatial Laplacian are allowed. The driving noise is white in time and spatially homogeneous. Continuing with the work initiated in Dalang and Mueller (2003), we prove that the solutions belong to a fractional L 2 -Sobolev space. We also ! �

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