On the solution of boundary value problems for the Laplace equation on the plane with a three-layer film inclusion

DOI10.1134/S0012266113120203zbMath1294.35163OpenAlexW2109405680WikidataQ115251922 ScholiaQ115251922MaRDI QIDQ2251813

Yanyan Li

Publication date: 15 July 2014

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

Full work available at URL: https://doi.org/10.1134/s0012266113120203

zbMATH Keywords

Laplace equationthin three-layer film

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Thin films (74K35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (2)

Solution of Boundary Value Problems in Cylinders with Two-Layer Film Inclusions ⋮ Generalized solvability of a parabolic model describing transfer processes in domains with thin inclusions

Cites Work

• A problem for the Helmholtz equation outside cuts on the plane with the Dirichlet condition and the oblique derivative condition on opposite sides of the cuts
• The convolution method for Fourier expansions. The case of generalized transmission conditions of crack (screen) type in piecewise inhomogeneous media
• The convolution method for Fourier expansions: the case of a crack (screen) in an inhomogeneous space
• A generalized jump problem for the Helmholtz equation outside cuts on the plane
• Generalized solvability of parabolic systems with nonhomogeneous transmission conditions of nonideal contact type
• A generalization of the Neumann problem for the Helmholtz equation outside cuts on the plane
• On a generalization of the Neumann problem for the Laplace equation outside cuts in a plane
• Explicit solution of the jump problem for the Laplace equation and singularities at the edges

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