Problem for the Helmholtz equation in the exterior of nonclosed surfaces with an impedance boundary condition

DOI10.1134/S1064562413010377zbMath1273.35102OpenAlexW1974563555MaRDI QIDQ352175

P. A. Krutitskii

Publication date: 4 July 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562413010377

zbMATH Keywords

Helmholtz equationimpedance boundary conditionexterior problemLipschitz boundary

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Explicit solution of the Helmholtz equation in the exterior of nonclosed Lipschitz surfaces with an impedance boundary condition

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundary value problem for the Laplace equation outside cuts on the plane with different conditions of the third kind on opposite sides of the cuts
• Boundary value problem for the Helmholtz equation outside cuts on the plane with boundary conditions of the third kind
• The harmonic problem in the plane with cuts under boundary conditions of the third kind
• The Helmholtz equation outside cuts on the plane with the Dirichlet condition and a third-kind boundary condition on opposite sides of the cuts
• The Helmholtz equation in the exterior of slits in a plane with different impedance boundary conditions on opposite sides of the slits

This page was built for publication: Problem for the Helmholtz equation in the exterior of nonclosed surfaces with an impedance boundary condition