# name
Approximation and support theorem for a wave equation in two space dimensions

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We prove a characterization of the support of the law of the solution for a stochastic wave equation with two-dimensional space variable, driven by a noise white in time and correlated in space. The result is a consequence of an approximation theorem, in the convergence of probability, for equations obtained by smoothing the random noise. For some particular classes of coefficients, approximation in the Lp-norm for p¿1 is also proved.

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Bernoulli Society for Mathematical Statistics and Probability

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(c) ISI/BS, International Statistical Institute, Bernoulli Society, 2000

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Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
Approximation and support theorem for a wave equation in two space dimensions