Abstract
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.
Citation
Annie Millet. Marta Sanz-Solé. "Approximation and support theorem for a wave equation in two space dimensions." Bernoulli 6 (5) 887 - 915, oct 2000.
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