The harmonic dirichlet problem for a cracked domain with jump conditions on cracks

DOI10.1080/00036810410001657279zbMath1072.31003OpenAlexW1994368955WikidataQ58152996 ScholiaQ58152996MaRDI QIDQ4656124

P. A. Krutitskii, Dagmar Medková

Publication date: 8 March 2005

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810410001657279

zbMATH Keywords

Dirichlet problemuniquenessharmonic functionseries representation

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) Connections of harmonic functions with differential equations in higher dimensions (31B35)

Related Items (2)

On the Oseen-Brinkman flow around an \((m-1)\)-dimensional solid obstacle ⋮ Boundary value problems for the Stokes equations with jumps in open sets

Cites Work

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• The invetibility of the double layer potential operator in the space of continuous functions defined over a polyhedron. the panel method. erratum
• The Fredholm Method in Potential Theory
• Explicit solution of the jump problem for the Laplace equation and singularities at the edges
• The jump problem for the Laplace equation

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