On the solvability of a boundary value problem for the Laplace equation on a screen with a boundary condition for a directional derivative

DOI10.1134/S001226611609010XzbMath1359.35043OpenAlexW2529252570WikidataQ115251117 ScholiaQ115251117MaRDI QIDQ507715

D. A. Yukhman, Alexey V. Setukha

Publication date: 7 February 2017

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s001226611609010x

zbMATH Keywords

Laplace equationboundary integral equationsthin plane screenthree-dimensional boundary value problem

Mathematics Subject Classification ID

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

Related Items (1)

Shifting the Boundary Conditions to the Middle Surface in the Numerical Solution of Neumann Boundary Value Problems Using Integral Equations

Cites Work

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• Numerical solution of 3D problems of electromagnetic wave diffraction on a system of ideally conducting surfaces by the method of hypersingular integral equations
• The three-dimensional Neumann problem with generalized boundary conditions and the Prandtl equation
• The Neumann problem with boundary condition on an open plane surface
• Construction of fundamental solutions of the Neumann boundary value problem in a domain outside an open plane surface
• Numerical solution to a two-dimensional hypersingular integral equation and sound propagation in urban areas

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