Summability of formal solutions to the n-dimensional inhomogeneous heat equation |
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| Authors: | S?awomir Michalik |
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| Affiliation: | Faculty of Mathematics and Natural Sciences, College of Science, Cardinal Stefan Wyszyński University, Dewajtis 5, 01-815 Warszawa, Poland |
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| Abstract: | The 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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| Keywords: | Complex heat equation Formal power series Borel summability |
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