Summability of formal solutions to the n-dimensional inhomogeneous heat equation

Michalik, Sławomir

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Publication date

November 2008

DOI

10.1016/j.jmaa.2008.06.010

Publisher

Elsevier Inc.

Abstract

AbstractThe Cauchy problem for n-dimensional inhomogeneous complex heat equation is considered. The Borel summability of formal solutions is characterised in terms of analytic continuation with an appropriate growth condition of some function connected with the inhomogeneity and the Cauchy data

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Summability of formal solutions to the n-dimensional inhomogeneous heat equation

Abstract

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Summability of formal solutions to the n-dimensional inhomogeneous heat equation

Abstract

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