The resolvent and the heat kernel for some singular boundary problems

DOI10.1080/03605308808820570zbMath0677.35033OpenAlexW2042690993MaRDI QIDQ3832933

Constantine J. Callias

Publication date: 1988

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308808820570

zbMATH Keywords

heat operatorheat kernelhigher dimensionsisolated singularitiessingular boundary problemrepresentation of resolvent

Mathematics Subject Classification ID

Related Items (8)

Spectrally determined singularities in a potential ⋮ Exotic expansions and pathological properties of \(\zeta\)-functions on conic manifolds ⋮ On the resolvent and spectral functions of a second order differential operator with a regular singularity ⋮ Functional determinants for general self-adjoint extensions of Laplace-type operators resulting from the generalized cone ⋮ Analytic torsion of a bounded generalized cone ⋮ Spectral functions for the Schrödinger operator on R+ with a singular potential ⋮ Singular asymptotics approach to partial differential equations with isolated singularities in the coefficients ⋮ A new example of the effects of a singular background on the zeta function ^*

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• An asymptotic expansion for the heat equation
• On the diffraction of waves by conical singularities. II
• On the spectral geometry of spaces with cone-like singularities
• Spectral theory

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