The \(L^p\) regularity problem for the heat equation in non-cylindrical domains (Q1307998)

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scientific article; zbMATH DE number 1361056
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The \(L^p\) regularity problem for the heat equation in non-cylindrical domains
scientific article; zbMATH DE number 1361056

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    The \(L^p\) regularity problem for the heat equation in non-cylindrical domains (English)
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    26 April 2000
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    The authors consider the Dirichlet problem for the heat equation in a domain with minimally smooth boundary. They obtain sharp \(L^p\) estimates fo the parabolic non tangential maximal function of the gradient of the solutions.
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    parabolic equations
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    regularity
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    non-cylindrical domains
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