Complex powers of the Neumann Laplacian in Lipschitz domains (Q2718020)
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scientific article; zbMATH DE number 1606238
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complex powers of the Neumann Laplacian in Lipschitz domains |
scientific article; zbMATH DE number 1606238 |
Statements
1 March 2002
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Sobolev spaces
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peculiarities
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Complex powers of the Neumann Laplacian in Lipschitz domains (English)
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The authors are concerned with peculiarities of the case of Lipschitz domains for solving the following problem: to describe the range of complex powers of the Neumann Laplacian such that the corresponding operator is an isomorphism between a Lebesgue space of functions \({\L}^q\) normalized by the condition that the integrals over the domain vanish, and the respective Sobolev space modulo constants. A certain set of such complex powers is indicated. Several corollaries which are, according to the authors, of independent interest are given.
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