On the influence of lower order coefficients of an elliptic differential operator on the spectral function (Q1089836)
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scientific article; zbMATH DE number 4006841
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the influence of lower order coefficients of an elliptic differential operator on the spectral function |
scientific article; zbMATH DE number 4006841 |
Statements
On the influence of lower order coefficients of an elliptic differential operator on the spectral function (English)
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1986
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Let us consider the differential expression of higher order \[ A(x,D_ x)=\sum_{| \alpha | =2m}a_{\alpha}D_ x^{\alpha}+\sum_{| \alpha | <\ell}b_{\alpha}(x)D_ x^{\alpha}, \] which satisfies certain ellipticity condition. An asymptotic expansion of the spectral function e(\(\lambda\),x,y) of the operator A is derived. The influence of the coefficients \(b_{\alpha}(x)\) on the validity of this expansion is studied.
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higher order
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asymptotic expansion
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spectral function
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influence of the coefficients
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