The \(\overline \partial \)-problem on \(Q\)-pseudoconvex domains with applications (Q2843876)
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scientific article; zbMATH DE number 6201647
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The \(\overline \partial \)-problem on \(Q\)-pseudoconvex domains with applications |
scientific article; zbMATH DE number 6201647 |
Statements
26 August 2013
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\(\overline \partial \) and \(\overline \partial \)-Neumann operators
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\(q\)-pseudoconvex domains
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Lipschitz domains
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0.92319703
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0.9205797
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0.91330034
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0.9085798
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0.9082993
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The \(\overline \partial \)-problem on \(Q\)-pseudoconvex domains with applications (English)
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From the abstract: For a \(q\)-pseudoconvex domain \(\Omega \) in \(\mathbb C^n\), \(1\leq q\leq n\), with Lipschitz boundary, the \(\bar \partial \)-problem with exact support in \(\Omega \) is solved. Moreover, in case \(\Omega \) has \(C^\infty \) boundary, the \(\bar \partial \)-problem with solutions \(C^\infty \) up to the boundary is solved. Application to the tangential \(\bar \partial \)-system on the boundary are given.
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