Explicit solution of the jump problem for the Laplace equation and singularities at the edges

DOI10.1155/S1024123X01001491zbMath0972.31003OpenAlexW2094494724MaRDI QIDQ5933551

P. A. Krutitskii

Publication date: 14 November 2001

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48944

zbMATH Keywords

Laplace equationcrack

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (7)

On the Oseen-Brinkman flow around an \((m-1)\)-dimensional solid obstacle ⋮ The solution of the third problem for the Laplace equation on planar domains with smooth boundary and inside cracks and modified jump conditions on cracks ⋮ Generalization of the Neumann problem to harmonic functions outside cuts on the plane ⋮ On the modified jump problem for the Laplace equation in the exterior of cracks in a plane ⋮ On the solution of boundary value problems for the Laplace equation on the plane with a three-layer film inclusion ⋮ The harmonic dirichlet problem for a cracked domain with jump conditions on cracks ⋮ Neumann and Robin problems in a cracked domain with jump conditions on cracks

This page was built for publication: Explicit solution of the jump problem for the Laplace equation and singularities at the edges