On the modified jump problem for the Laplace equation in the exterior of cracks in a plane

DOI10.1155/2012/579457zbMath1253.35044OpenAlexW2104355651WikidataQ58704852 ScholiaQ58704852MaRDI QIDQ456523

A. Sasamoto, P. A. Krutitskii

Publication date: 16 October 2012

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/579457

zbMATH Keywords

boundary value problemLaplace equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60)

Related Items (2)

Generalization of the Neumann problem to harmonic functions outside cuts on the plane ⋮ Solvability of the Laplace equation in a solid with boundary reinforcement

Cites Work

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• Boundary value problem for the Laplace equation outside cuts on the plane with different conditions of the third kind on opposite sides of the cuts
• The Neumann problem on wave propagation in a 2-D external domain with cuts
• 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 modified jump problem for the Laplace equation and singularities at the tips
• THE ANGULAR POTENTIAL AND SOME OF ITS APPLICATIONS
• Wave propagation in a 2-D external domain bounded by closed and open curves
• The Dirichlet problem for the two-dimensional Laplace equation in a multiply connected domain with cuts
• An Existence Theorem for the Reduced Wave Equation
• Explicit solution of the jump problem for the Laplace equation and singularities at the edges
• The Neumann problem in a 2-D exterior domain with cuts and singularities at the tips

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