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Singularities of the solution gradient in the generalized jump problem for the Laplace equation outside a cut on the plane

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Publication:1778225
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DOI10.1023/B:DIEQ.0000012690.97364.4czbMath1161.35345OpenAlexW1984523942WikidataQ115335086 ScholiaQ115335086MaRDI QIDQ1778225

P. A. Krutitskii, A. I. Sgibnev

Publication date: 17 June 2005

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

Full work available at URL: https://doi.org/10.1023/b:dieq.0000012690.97364.4c

zbMATH Keywords

integral representation of solutionssingularities of the solution gradient in the generalized jump problem


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

Generalized solvability and optimization of a parabolic system with a discontinuous solution, Generalization of the Neumann problem to harmonic functions outside cuts on the plane, The convolution method for Fourier expansions. The case of generalized transmission conditions of crack (screen) type in piecewise inhomogeneous media



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