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Approximation and support theorem for a two space-dimensional wave equation - MaRDI portal

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Approximation and support theorem for a two space-dimensional wave equation

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Publication:6503695

arXivmath/9804148MaRDI QIDQ6503695

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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, aproximation in the Lp norm, for pgeq1 is also proved.












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