The Neumann problem for the Laplace equation on general domains

DOI10.1007/s10587-007-0116-yzbMath1174.31305OpenAlexW2062950622MaRDI QIDQ3618012

Dagmar Medková

Publication date: 31 March 2009

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/31185

zbMATH Keywords

potentialLaplace equationboundary integral equation methodNeumann problem

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items (4)

Convergence of the Neumann series in BEM for the Neumann problem of the Stokes system ⋮ Transmission problem for the Laplace equation and the integral equation method ⋮ A limit model for thermoelectric equations ⋮ Integral representation of a solution to the Stokes-Darcy problem

Cites Work

• Measure density and extendability of Sobolev functions
• Boundary behavior of harmonic functions in non-tangentially accessible domains
• Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
• Quasiconformal mappings and extendability of functions in Sobolev spaces
• Solution of the Robin problem for the Laplace equation
• Hyponormal operators
• Les potentiels d'energie finie
• A generalized Drazin inverse
• Solution of the Neumann problem for the Laplace equation
• Smooth surfaces with infinite cyclic variation
• On C. Neumann's method for second-order elliptic systems in domains with non-smooth boundaries
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