Variational forms for the inverses of integral logarithmic operators over an interval

DOI10.1016/j.crma.2011.01.016zbMath1230.47078OpenAlexW2013312187MaRDI QIDQ544907

Jean-Claude Nédélec, Carlos Jerez-Hanckes

Publication date: 16 June 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2011.01.016

zbMATH Keywords

Dirichlet problemcoercivitylogarithmic potentialNeumann problemfractional Sobolev space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral operators (45P05) Integral operators (47G10) Conjugate functions, conjugate series, singular integrals (42A50) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Singular integral equations (45E99)

Related Items (2)

Integral equations on multi-screens ⋮ High-order Galerkin method for Helmholtz and Laplace problems on multiple open arcs

Cites Work

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• Second kind integral equations for the classical potential theory on open surfaces. II.
• Operator preconditioning
• The Numerical Solution of First-Kind Logarithmic-Kernel Integral Equations on Smooth Open Arcs
• Numerical Solution of an Exterior Neumann Problem Using a Double Layer Potential
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

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