The global behavior of heat kernels in exterior domains (Q1874456)
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scientific article; zbMATH DE number 1915625
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The global behavior of heat kernels in exterior domains |
scientific article; zbMATH DE number 1915625 |
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The global behavior of heat kernels in exterior domains (English)
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25 May 2003
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It is established the global boundary behavior of Dirichlet heat kernels on some unbounded \(C^{1,1}\) domains \(D\subset M\) where \(M\) is a complete noncompact manifold with nonnegative Ricci curvature. These, combined with the interior estimate in the recent paper of \textit{A. Grigoryan} and \textit{L. Saloff-Coste} [Commun. Pure Appl. Math. 55, 93-133 (2002; Zbl 1037.58018)], provide a complete and qualitatively sharp description of heat kernels \(G\) of Dirichlet Laplacian.
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heat kernel
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Dirichlet problem
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unbounded domain
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