The Dirichlet-Neumann problem for the dissipative Helmholtz equation in a 2-D cracked domain with the Neumann condition on cracks

DOI10.21099/TKBJM/1496165031zbMath1210.35035OpenAlexW381694583MaRDI QIDQ864054

P. A. Krutitskii, V. V. Kolybasova

Publication date: 12 February 2007

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21099/tkbjm/1496165031

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations with kernels of Cauchy type (45E05)

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On the harmonic Dirichlet problem on a two-dimensional domain with cuts ⋮ Properties of solutions of the Dirichlet problem for the Helmholtz equation in a two-dimensional domain with cuts

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