The convolution method for Fourier expansions. The case of generalized transmission conditions of crack (screen) type in piecewise inhomogeneous media

DOI10.1134/S0012266109060081zbMath1173.76050OpenAlexW2015711741MaRDI QIDQ731553

D. Kharzeev

Publication date: 8 October 2009

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

Full work available at URL: https://doi.org/10.1134/s0012266109060081

zbMATH Keywords

singular pointsboundary value problemsharmonic functions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05)

Related Items (7)

On multilayer films on the boundary of a half-space ⋮ On solving problems of heat and mass transferin piecewise homogeneous regions with a weakly permeable film ⋮ On the solution of boundary value problems for the Poisson equation in domains with strongly (weakly) permeable films in the form of a segment ⋮ On the motion of a semibounded string with a point mass attached to the free end ⋮ Generalized solvability of a parabolic model describing transfer processes in domains with thin inclusions ⋮ On the solution of boundary value problems for the Laplace equation on the plane with a three-layer film inclusion ⋮ Effective solution of the problem of motion of an infinite string with an attached point mass

Cites Work

• Unnamed Item
• Singularities of the solution gradient in the generalized jump problem for the Laplace equation outside a cut on the plane
• A generalization of the Neumann problem for the Helmholtz equation outside cuts on the plane
• The modified jump problem for the Laplace equation and singularities at the tips
• On a generalization of the Neumann problem for the Laplace equation outside cuts in a plane

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