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Approximation of a stochastic wave equation in dimension three, with application to a support theorem in Hölder norm: the non-stationary case - MaRDI portal

Approximation of a stochastic wave equation in dimension three, with application to a support theorem in Hölder norm: the non-stationary case (Q282550)

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scientific article; zbMATH DE number 6579707
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Approximation of a stochastic wave equation in dimension three, with application to a support theorem in Hölder norm: the non-stationary case
scientific article; zbMATH DE number 6579707

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    Approximation of a stochastic wave equation in dimension three, with application to a support theorem in Hölder norm: the non-stationary case (English)
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    12 May 2016
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    This paper is along the authors' previous work [Bernoulli 20, No. 4, 2169--2216 (2014; Zbl 1306.60087)] and concerns the topological support of the law of the solution of a stochastic wave equation with non-vanishing initial conditions and Lipschitz continuous coefficients. The result of the paper is a consequence of approximations of the random filed solution by a sequence of SPDEs obtained by smoothing the noise.
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    stochastic wave equation
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    support theorem
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    approximating schemes
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