A bound for the eigenvalue counting function for Krein-von Neumann and Friedrichs extensions (Q329523)
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scientific article; zbMATH DE number 6642278
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A bound for the eigenvalue counting function for Krein-von Neumann and Friedrichs extensions |
scientific article; zbMATH DE number 6642278 |
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A bound for the eigenvalue counting function for Krein-von Neumann and Friedrichs extensions (English)
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21 October 2016
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The authors derive upper estimates for the eigenvalue counting function \(N(\lambda)\) of the Krein-von Neumann extension and the Friedrichs extension of a symmetric, closed, and strictly positive partial differential operator of order \(2m\) acting on \(L^2(\Omega)\), where \(\Omega\) is a bounded domain of \(\mathbb{R}^n\) without any regularity assumptions on its boundary (the operator is an \(m\)-th power of a second-order operator). Apart from its interesting results, the paper is also well written and educational.
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Krein and Friedrichs extensions
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powers of second-order uniformly elliptic partial differential operators
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bounds on eigenvalue counting functions
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spectral analysis
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buckling problem
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