Solution of boundary value problems for the Laplace equation in a ball bounded by a multilayer film

DOI10.1134/S0012266117070059zbMath1378.35089OpenAlexW2748488193WikidataQ115250933 ScholiaQ115250933MaRDI QIDQ2411838

Yanyan Li

Publication date: 25 October 2017

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

Full work available at URL: https://doi.org/10.1134/s0012266117070059

zbMATH Keywords

Dirichlet problemLaplace equationNeumann 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 (4)

On the solution of boundary value problems for the Poisson equation in domains with strongly (weakly) permeable films in the form of a segment ⋮ Dirichlet problem for the Laplace equation in the hyperoctant of a multidimensional ball ⋮ Generalized solvability of a parabolic model describing transfer processes in domains with thin inclusions ⋮ Holmgren's problem for the Laplace equation in the hyperoctant of a multidimensional ball

Cites Work

• On multilayer films on the boundary of a half-space
• 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 a crack (screen) in an inhomogeneous space
• Construction of fundamental solutions of the Neumann boundary value problem in a domain outside an open plane surface
• Generalized solvability of parabolic systems with nonhomogeneous transmission conditions of nonideal contact type
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