Some overdetermined second order elliptic systems and boundary value problems in the unit ball of \(\mathbb{C}^ n\) (Q1360766)
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scientific article; zbMATH DE number 1037720
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some overdetermined second order elliptic systems and boundary value problems in the unit ball of \(\mathbb{C}^ n\) |
scientific article; zbMATH DE number 1037720 |
Statements
Some overdetermined second order elliptic systems and boundary value problems in the unit ball of \(\mathbb{C}^ n\) (English)
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8 October 1997
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The author proves solvability and integral representation formulas for overdetermined boundary value problems for equations of the form \[ {\partial^2u \over\partial z_i \partial \overline z_j} =f_{ij} (z),\;i,j=1, \dots, n,\;z\in\Omega \subset\mathbb{C}^n. \]
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Neumann problem
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Dirichlet problem
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biholomorphic function
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