The Cauchy boundary value problems on closed piecewise smooth manifolds in \(\mathbb{C}^n\) (Q2577663)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Cauchy boundary value problems on closed piecewise smooth manifolds in \(\mathbb{C}^n\) |
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The Cauchy boundary value problems on closed piecewise smooth manifolds in \(\mathbb{C}^n\) (English)
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5 January 2006
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The authors give an analogue of the Plemelj formula for the higher order singular integral with the Bochner-Martinelli kernel for the case of manifolds mentioned in the title. By means of this formula there is solved the corresponding Cauchy boundary value problem (more precisely, the jump problem).
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Bochner-Martinelli kernel
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Hadamard principal value
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Plemelj formula
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boundary value problem
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