The harmonic problem in the plane with cuts under boundary conditions of the third kind

DOI10.1134/S1064562408010225zbMath1169.31002OpenAlexW1991814395MaRDI QIDQ960666

P. A. Krutitskii

Publication date: 5 January 2009

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562408010225

zbMATH Keywords

harmonic functionboundary problempotentialsboundary conditions of the third kind

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Related Items (2)

Problem for the Helmholtz equation in the exterior of nonclosed surfaces with an impedance boundary condition ⋮ Explicit solution of the Helmholtz equation in the exterior of nonclosed Lipschitz surfaces with an impedance boundary condition

Cites Work

• The skew derivative problem in the exterior of open curves in a plane
• On the electric current from electrodes in a magnetized semiconductor film
• On a generalization of the Neumann problem for the Laplace equation outside cuts in a plane
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