Short time behavior of the heat kernel and its logarithmic deviatives (Q679316)
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scientific article; zbMATH DE number 1002397
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Short time behavior of the heat kernel and its logarithmic deviatives |
scientific article; zbMATH DE number 1002397 |
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Short time behavior of the heat kernel and its logarithmic deviatives (English)
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2 November 1997
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Let \(p_t(x,y)\) be the fundamental solution to the Cauchy problem for the heat equation of a compact connected Riemannian manifold \(M\). The authors study the asymptotic behavior of the derivatives of \(\log p_t(\cdot,y)\) as \(x\) at \(t\searrow 0\) for \(x\) outside and inside the cut locus of \(y\).
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compact Riemannian manifold
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fundamental solution
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heat equation
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asymptotic behavior
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