An over-determined boundary problem for the Helmholtz equation in a semi-infinite domain with a curvilinear boundary

DOI10.3103/S1066369X10020088zbMath1186.35034MaRDI QIDQ847884

D. N. Tumakov

Publication date: 19 February 2010

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

zbMATH Keywords

Fourier transformHelmholtz equationover-determined Cauchy problemspace of distributions of slow growth

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Weak solutions to PDEs (35D30)

Related Items (3)

Over-determined boundary value problem method in the theory of mixed problems for acoustic equations in spherical regions ⋮ Infinite sets of linear algebraic equations in the problems of diffraction of electromagnetic waves by the non-coordinate periodic media interfaces ⋮ A new approach to investigation of Maxwell equations in spherical coordinates

Cites Work

• Iterative techniques for rough surface scattering problems
• Acoustic Scattering by an Inhomogeneous Layer on a Rigid Plate
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