Diagonal short time asymptotics of heat kernels for certain degenerate second order differential operators of Hörmander type (Q1123309)
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scientific article; zbMATH DE number 4109201
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Diagonal short time asymptotics of heat kernels for certain degenerate second order differential operators of Hörmander type |
scientific article; zbMATH DE number 4109201 |
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Diagonal short time asymptotics of heat kernels for certain degenerate second order differential operators of Hörmander type (English)
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1988
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The author studies partial differential operators of the form \(L=(1/2)\sum^{n}_{i=1}\hat V^ 2_ i+\hat V_ 0\) where the \(\{\) \(\hat V_ j\}\) are vector fields which generate a Lie algebra of top dimension and \(V_ 0\) is not zero. The author studies the diagonal short time asymptotics for the Wiener functional of the associated heat equation \((\partial /\partial t-L)u=0\).
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second order
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Hörmander operator
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vector fields
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Lie algebra of top dimension
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short time asymptotics
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Wiener functional
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associated heat equation
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