On the multisummability of divergent solutions of linear partial differential equations with constant coefficients |
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| Authors: | S?awomir Michalik |
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| Affiliation: | a Faculty of Mathematics and Natural Sciences, College of Science, Cardinal Stefan Wyszyński University, Wóycickiego 1/3, 01-938 Warszawa, Poland
b Institute of Mathematics, Polish Academy of Sciences, P.O. Box 21, ?niadeckich 8, 00-956 Warszawa, Poland |
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| Abstract: | We consider the Cauchy problem for general linear partial differential equations in two complex variables with constant coefficients. We obtain necessary and sufficient conditions for the multisummability of formal solutions in terms of analytic continuation properties and growth estimates of the Cauchy data. |
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| Keywords: | 35C10 35E15 |
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