Singularities of the solution of the laplacian in domains with circular edges

DOI10.1080/00036819208840102zbMath0758.35002OpenAlexW1970114536WikidataQ58185843 ScholiaQ58185843MaRDI QIDQ4007154

Tobias von Petersdorff, Ernst Peter Stephan

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1080/00036819208840102

zbMATH Keywords

Dirichlet problemLaplace equationregularity theoremdecomposition into edge singularities

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Analyticity in context of PDEs (35A20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

Boundary elements with mesh refinements for the wave equation ⋮ \(hp\)-version time domain boundary elements for the wave equation on quasi-uniform meshes ⋮ Quotient-space boundary element methods for scattering at complex screens ⋮ Higher-order time domain boundary elements for elastodynamics: graded meshes and \textit{hp} versions ⋮ Circular edge singularities for the Laplace equation and the elasticity system in 3-D domains

Cites Work

• Unnamed Item
• Über die Asymptotik der Lösungen elliptischer Randwertaufgaben in der Umgebung von Kanten
• Decompositions in Edge and Corner Singularities for the Solution of the Dirichlet Problem of the Laplacian in a Polyhedron

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