On analytic continuation of solutions of linear partial differential equations (Q882656)
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scientific article; zbMATH DE number 5156801
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On analytic continuation of solutions of linear partial differential equations |
scientific article; zbMATH DE number 5156801 |
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On analytic continuation of solutions of linear partial differential equations (English)
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24 May 2007
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Linear PDEs of Cauchy-Kovalevskaya type are under consideration. The author constructed local holomorphic solutions that can be analytically continued in sector of infinite radius. Growth estimates for these solutions were also obtained. Sufficient conditions for summability of formal series solutions of linear PDE in the complex domain were used.
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power series solution
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Borel summability
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local holomorphic solutions
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0.9698428
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0.95079756
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0.94849414
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0.9318562
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