The jump problem for the Laplace equation

DOI10.1016/S0893-9659(00)00161-0zbMath0983.35040MaRDI QIDQ5938926

P. A. Krutitskii

Publication date: 7 August 2001

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenesssingularities of solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (7)

On the Oseen-Brinkman flow around an \((m-1)\)-dimensional solid obstacle ⋮ A generalized jump problem for the Helmholtz equation outside cuts on the plane ⋮ 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 ⋮ A thermomechanical finite element tool for Leak-before-Break analysis ⋮ The harmonic dirichlet problem for a cracked domain with jump conditions on cracks ⋮ The modified jump problem for the Laplace equation and singularities at the tips ⋮ Neumann and Robin problems in a cracked domain with jump conditions on cracks

Cites Work

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• The Neumann problem on wave propagation in a 2-D external domain with cuts
• The Neumann problem for the 2-D Helmholtz equation in a multiply connected domain with cuts
• The jump problem for the Helmholtz equation and singularities at the edges
• Dirichlet's problem for the Helmholtz equation outside cuts in a plane
• Neumann's problem for the Helmholtz equation outside cuts in the plane
• The Dirichlet Problem for the 2‐D Helmholtz Equation in a Multiply Connected Domain with Cuts
• Wave propagation in a 2-D external domain with cuts
• An Existence Theorem for the Reduced Wave Equation

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