Representations and estimates for inverse operators in the harmonic potential theory for polyhedra

DOI10.4171/RLM/626zbMath1252.35128OpenAlexW12856596MaRDI QIDQ713962

Vladimir Gilelevich Maz'ya

Publication date: 19 October 2012

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rlm/626

zbMATH Keywords

fundamental solutionsboundary integral equationsNeumann problempointwise estimates for Green's kernel

Mathematics Subject Classification ID

Integral operators (45P05) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Boundary value problems for linear higher-order PDEs (35G15)

Related Items (4)

Solvability of a boundary integral equation on a polyhedron ⋮ The quasi-static plasmonic problem for polyhedra ⋮ On boundary integral operators for diffraction problems on graphs with finitely many exits at infinity ⋮ Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains

Cites Work

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• Integral operators in potential theory
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• Layer potentials on boundaries with corners and edges
• The double layer potential operator over polyhedral domains i: solvability in weighted sobolev spaces
• The Invertibility of the Double Layer Potential Operator in the Space of Continuous Functions Defined on a Polyhedron: The Panel Method
• Some examples concerning applicability of the Fredholm-Radon method in potential theory
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE

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