Averaging over \(N\)-dimensional balls and Cauchy problem for equations of mathematical physics (Q1851321)

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scientific article; zbMATH DE number 1846008
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Averaging over \(N\)-dimensional balls and Cauchy problem for equations of mathematical physics
scientific article; zbMATH DE number 1846008

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    Averaging over \(N\)-dimensional balls and Cauchy problem for equations of mathematical physics (English)
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    16 December 2002
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    The author considers the averaging over the balls in \(\mathbb{R}^N\). He gives a relation between scale and space dependence of the average function. He also shows connection with equations of mathematical physics.
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    averaging
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    Cauchy problem
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    Euler-Poisson-Darboux equation
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