Intrinsic ultracontractivity and the Dirichlet Laplacian (Q1178621)
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scientific article; zbMATH DE number 21947
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Intrinsic ultracontractivity and the Dirichlet Laplacian |
scientific article; zbMATH DE number 21947 |
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Intrinsic ultracontractivity and the Dirichlet Laplacian (English)
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26 June 1992
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If \(D=\{(x,y):0<x<1\), \(f(x)<y<1\}\), where \(f\) is negative, upper semicontinuous and bounded below, then the semigroup of the Dirichlet Laplacian in \(D\) is intrinsically ultracontractive. Analogues in higher dimensions are proved.
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Dirichlet Laplacian
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intrinsically ultracontractive
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