The Helmholtz equation outside cuts on the plane with the Dirichlet condition and a third-kind boundary condition on opposite sides of the cuts

DOI10.1134/S0012266106090035zbMath1152.35020WikidataQ115253490 ScholiaQ115253490MaRDI QIDQ2480427

V. V. Kolybasova, P. A. Krutitskii

Publication date: 31 March 2008

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Helmholtz equationDirichlet conditioncutsthird-kind boundary condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fredholm integral equations (45B05)

Related Items (4)

The convolution method for Fourier expansions: the case of a crack (screen) in an inhomogeneous space ⋮ Problem for the Helmholtz equation in the exterior of nonclosed surfaces with an impedance boundary condition ⋮ Explicit solution of the Helmholtz equation in the exterior of nonclosed Lipschitz surfaces with an impedance boundary condition ⋮ Reconstruction of cracks of different types from far‐field measurements

Cites Work

• An initial-boundary value problem for the pseudo-hyperbolic equation of gravity-gyroscopic waves
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