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

DOI10.1134/S0012266111090060zbMath1255.35083OpenAlexW2101236968WikidataQ115252225 ScholiaQ115252225MaRDI QIDQ656490

Publication date: 18 January 2012

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

Full work available at URL: https://doi.org/10.1134/s0012266111090060

zbMATH Keywords

Helmholtz equation integral representation to the solution mixed Dirichlet oblique derivative boundary

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (6)

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 ⋮ Solution of boundary value problems for the Laplace equation in a ball bounded by a multilayer film ⋮ Problem for the diffusion equation outside cuts on the plane with the Dirichlet condition and an oblique derivative condition on opposite sides of the cuts ⋮ On the solution of boundary value problems for the Laplace equation on the plane with a three-layer film inclusion ⋮ On the steady-state processes on a plane with a circular inclusion shielded by a two-layer film

Cites Work

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