Dirichlet problem for the Helmholtz equation in the exterior of open surfaces and the case of its explicit solution

DOI10.1134/S1064562412050249zbMath1393.35014OpenAlexW2034262237MaRDI QIDQ1930842

P. A. Krutitskii

Publication date: 14 January 2013

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

Full work available at URL: https://doi.org/10.1134/s1064562412050249

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Connections of harmonic functions with differential equations in higher dimensions (31B35)

Related Items (1)

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

Cites Work

• The Dirichlet Problem for the 2‐D Helmholtz Equation in a Multiply Connected Domain with Cuts
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