Convergence of fundamental solutions of linear parabolic equations under Cheeger-Gromov convergence (Q422379)
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scientific article; zbMATH DE number 6035644
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of fundamental solutions of linear parabolic equations under Cheeger-Gromov convergence |
scientific article; zbMATH DE number 6035644 |
Statements
Convergence of fundamental solutions of linear parabolic equations under Cheeger-Gromov convergence (English)
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16 May 2012
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The author shows convergence of the fundamental solutions of parabolic equations over smooth connected manifolds, assuming Cheeger-Gromov convergence of the underlying manifolds and uniform \(L ^{1}\)-bound of the solutions. Moreover, local integral estimate of the fundamental solutions is proved as well.
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heat kernel
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Cheeger-Gromov convergence
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fundamental solution
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