Among all two-dimensional convex domains the disk is not optimal for the lifetime of a conditioned Brownian motion (Q698330)

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scientific article; zbMATH DE number 1802590
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Among all two-dimensional convex domains the disk is not optimal for the lifetime of a conditioned Brownian motion
scientific article; zbMATH DE number 1802590

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    Among all two-dimensional convex domains the disk is not optimal for the lifetime of a conditioned Brownian motion (English)
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    27 July 2003
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    The following result is proved. A disk does not minimize the lifetime of a conditional Brownian motion among all convex planar domains of given area. A corresponding counterexample is constructed.
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    conditional Brownian motion
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    lifetime
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    Dirichlet problem
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    Green function
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