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Summability of divergent solutions of the \(n\)-dimensional heat equation - MaRDI portal

Summability of divergent solutions of the \(n\)-dimensional heat equation (Q855813)

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scientific article; zbMATH DE number 5078205
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Summability of divergent solutions of the \(n\)-dimensional heat equation
scientific article; zbMATH DE number 5078205

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    Summability of divergent solutions of the \(n\)-dimensional heat equation (English)
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    7 December 2006
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    The Cauchy problem for \(n\)-dimensional complex heat equation is considered. The aim of the paper is answer to the question: Under what conditions on the Cauchy data is the formal solution Borel summable? The author uses modified Borel transform instead of the Borel transform.
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    formal solution
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    Borel summability
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    modified Borel transform
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