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The support of the solution to a hyperbolic SPDE - MaRDI portal

The support of the solution to a hyperbolic SPDE (Q1326300)

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scientific article; zbMATH DE number 569034
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The support of the solution to a hyperbolic SPDE
scientific article; zbMATH DE number 569034

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    The support of the solution to a hyperbolic SPDE (English)
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    5 September 1994
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    We prove Stroock-Varadhan type theorems for the topological support of a hyperbolic stochastic partial differential equation in the \(\alpha\)- Hölder norm, for \(\alpha \in (0,{1 \over 2})\). Our approach is based on absolutely continuous transformations of \(\Omega\) defined by using non- homogeneous approximations of the Brownian sheet.
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    Stroock-Varadhan type theorems
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    hyperbolic stochastic partial differential equation
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    Brownian sheet
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