Laplace-Like Linear Differential Operators with a Logarithm-Free Elementary Solution

DOI10.1002/MANA.3211480109zbMath0735.35047OpenAlexW1991958854MaRDI QIDQ3971457

Rainer Schimming

Publication date: 25 June 1992

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.3211480109

zbMATH Keywords

Riemannian metricHadamard coefficientlogarithm-free elementary solutionSynge's two point function

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items (7)

A new algebraic approach for calculating the heat kernel in quantum gravity ⋮ Helmholtz operators on harmonic manifolds ⋮ A survey on Huygens' principle ⋮ Heat kernel coefficients for the matrix Schrödinger operator ⋮ Covariant algebraic method for calculation of the low-energy heat kernel ⋮ Huygens' principle, Dirac operators, and rational solutions of the AKNS hierarchy ⋮ Huygens' principle and integrable systems

Cites Work

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• A Solution of Hadamard's Problem for a Restricted Class of Operators
• Zur Gültigkeit des Huygensschen Prinzips bei einer speziellen Metrik
• An explicit expression for the Korteweg-de Vries hierarchy

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