Neumann problem for the Helmholtz equation in the exterior of nonclosed surfaces and the case of its explicit solution

DOI10.1134/S106456241206021XzbMath1266.35015OpenAlexW2010877002MaRDI QIDQ1945177

P. A. Krutitskii

Publication date: 3 April 2013

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

Full work available at URL: https://doi.org/10.1134/s106456241206021x

zbMATH Keywords

Helmholtz equationexterior Neumann problemLipschitz boundary

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 (2)

Explicit solution of the Helmholtz equation in the exterior of nonclosed Lipschitz surfaces with an impedance boundary condition ⋮ On the solvability of a hypersingular integral equation on a surface with isothermal coordinates

Cites Work

• The Neumann problem for the 2-D Helmholtz equation in a multiply connected domain with cuts
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