The mixed problem for the Helmholtz equation in a multiply connected region

zbMath0914.35040MaRDI QIDQ1264635

P. A. Krutitskii

Publication date: 21 June 1999

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Fredholm integral equationBanach spaceHelmholtz equationmixed Dirichlet-Neumann problem

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fredholm integral equations (45B05)

Related Items (8)

The impedance problem for the propagative Helmholtz equation in interior multiply connected domain ⋮ The skew derivative problem in the exterior of open curves in a plane ⋮ 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 ⋮ Generalization of the Neumann problem to harmonic functions outside cuts on the plane ⋮ Hypersingular integral equations not needed in the impedance problem in scattering theory. ⋮ The Neumann problem in a 2-D exterior domain with cuts and singularities at the tips ⋮ Method of interior boundaries for the impedance problem in scattering theory. ⋮ Integral equation method for the acoustic impedance problem in interior multiply connected domain.

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