The existence of nonclassical asymptotic expansion of the trace of a heat kernel for a degenerate elliptic operator (Q1114075)
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scientific article; zbMATH DE number 4084161
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The existence of nonclassical asymptotic expansion of the trace of a heat kernel for a degenerate elliptic operator |
scientific article; zbMATH DE number 4084161 |
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The existence of nonclassical asymptotic expansion of the trace of a heat kernel for a degenerate elliptic operator (English)
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1989
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We construct a second-order subelliptic differential operator with loss of \(1/2\) derivative for which the corresponding trace of heat kernel has a nonclassical asymptotic expansion. This construction can be carried out on any compact manifold of dimension \(\geq 3\) to produce similar examples.
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subelliptic
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trace of heat kernel
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asymptotic expansion
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