\(m\)-accretive extensions of a sectorial operator (Q2863125)
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scientific article; zbMATH DE number 6231588
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(m\)-accretive extensions of a sectorial operator |
scientific article; zbMATH DE number 6231588 |
Statements
21 November 2013
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sectorial operator
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accretive operator
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linear relation
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Friedrichs extension
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boundary triplet
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0.93993473
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0.9275037
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0.8956685
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0.8874338
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0.88551325
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\(m\)-accretive extensions of a sectorial operator (English)
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A description of all the maximal accretive extensions and their resolvents is given for a densely defined closed sectorial operator in a Hilbert space in terms of abstract boundary conditions. These results are applied to parametrize all the \(m\)-accretive extensions of a symmetric operator \(S\) in a planar model of one-centre point interaction: \(Sf=-\Delta f\), \(\text{dom}(S)=\{f\in W^{2,2}({\mathbb R}^2): f(0)=0\}\).
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