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Avramidi, Ivan G.; Branson, Thomas

Heat kernel asymptotics of operators with non-Laplace principal part. (English) Zbl 1031.58015

Rev. Math. Phys. 13, No. 7, 847-890 (2001).
The paper deals with second-order elliptic operators acting on sections of vector bundles over a compact Riemannian manifold and having a leading symbol of non-Laplace type. More precisely, information is obtained on the asymptotic expansions of the corresponding resolvent and the .
Reviewer: Dian K.Palagachev (Bari)

Cited in 11 Documents

MSC:

58J35 Heat and other parabolic equation methods for PDEs on manifolds
58J37 Perturbations of PDEs on manifolds; asymptotics
58J50 Spectral problems; spectral geometry; scattering theory on manifolds
35K05 Heat equation
47F05 General theory of partial differential operators

Keywords:

heat-kernel asymptotics; differential operators on compact Riemannian manifolds
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References:

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