Characteristic Cauchy problems and analytic continuation of holomorphic solutions (Q757725)
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scientific article; zbMATH DE number 4192226
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characteristic Cauchy problems and analytic continuation of holomorphic solutions |
scientific article; zbMATH DE number 4192226 |
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Characteristic Cauchy problems and analytic continuation of holomorphic solutions (English)
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1990
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This paper is concerned with the analytic continuation of holomorphic solutions of a linear partial differential equation of order m in a complex domain. The sufficient conditions for the solution of the analytic continuation problem are given, when the boundary of the domain contains a characteristic hyperplane. The proof is based on a Cauchy- Kowalewsky type theorem for a Cauchy problem with m-1 data given on a characteristic hyperplane.
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analytic continuation
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Cauchy problem
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