Potential theory of Schrödinger operator based on fractional Laplacian (Q2772055)
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scientific article; zbMATH DE number 1706598
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Potential theory of Schrödinger operator based on fractional Laplacian |
scientific article; zbMATH DE number 1706598 |
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18 February 2002
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symmetric \(\alpha\)-stable processes
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Feynman-Kac semigroups
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Schrödinger operators
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Kelvin transforms
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conditional gauge theorems
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Potential theory of Schrödinger operator based on fractional Laplacian (English)
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The authors study the potential theory of Schrödinger operators based on fractional Laplacians in Euclidean spaces of arbitrary dimension. The starting point of this paper is a conditional gauge theorem for small balls, which is an easy consequence of the 3G inequality.
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