Heat Kernel Expansions in the Case of Conic Singularities

DOI10.1142/S0217751X03015659zbMath1038.58026OpenAlexW2078984728MaRDI QIDQ4440715

Robert T. Seeley

Publication date: 2003

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217751x03015659

zbMATH Keywords

heat kernelconical singularitiespositive elliptic differential operators

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (1)

\(p\)-forms on \(d\)-spherical tessellations

Cites Work

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• The resolvent expansion for second order regular singular operators
• Regular singular asymptotics
• The expansion of the resolvent near a singular stratum of conical type
• Heat invariants of Riemannian manifolds
• Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems
• Zeta and eta functions for Atiyah-Patodi-Singer operators
• An asymptotic expansion for the heat equation
• An Index Theorem for First Order Regular Singular Operators
• Pole structure of the Hamiltonian $\zeta$-function for a singular potential
• TRACE EXPANSIONS FOR THE ZAREMBA PROBLEM
• Analytic Extension of the Trace Associated with Elliptic Boundary Problems
• Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds

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