On the existence of a Green's function on a manifold

DOI10.1070/RM1983v038n01ABEH003400zbMath0542.35025OpenAlexW2020548342MaRDI QIDQ3329824

Alexander Grigor'yan

Publication date: 1983

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1983v038n01abeh003400

zbMATH Keywords

existenceGreen's functionLaplaciansmooth noncompact Riemannian manifold

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Global Riemannian geometry, including pinching (53C20) Potential theory on Riemannian manifolds and other spaces (31C12)

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