Explicit solutions of integral equations and relations for potentials

DOI10.1134/S0012266118090082zbMath1408.30040OpenAlexW2894802680WikidataQ129088711 ScholiaQ129088711MaRDI QIDQ1711284

V. V. Kolybasova, P. A. Krutitskii

Publication date: 17 January 2019

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

Full work available at URL: https://doi.org/10.1134/s0012266118090082

zbMATH Keywords

integral equationspotentialsboundary values of analytic functions

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Cites Work

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• Numerical method for the solution of integral equations in a problem with directional derivative for the Laplace equation outside open curves
• A problem related to the Hall effect in a semiconductor with an electrode of an arbitrary shape
• The skew derivative problem in the exterior of open curves in a plane
• Numerical method for an integral-algebraic system
• Dirichlet's problem for the Helmholtz equation outside cuts in a plane
• Neumann's problem for the Helmholtz equation outside cuts in the plane
• Numerical treatment of a skew-derivative problem for the Laplace equation in the exterior of an open arc
• THE ANGULAR POTENTIAL AND SOME OF ITS APPLICATIONS
• On the electric current from electrodes in a magnetized semiconductor film

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