8.—Constructive Methods for Solving the Exterior Neumann Problem for the Reduced Wave Equation in a Spherically Symmetric Medium

DOI10.1017/S0308210500017819zbMath0341.35034OpenAlexW2506016494MaRDI QIDQ4108684

David Colton, Wolfgang L. Wendland

Publication date: 1976

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500017819

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Schrödinger operator, Schrödinger equation (35J10)

Related Items

Transmutation theory for certain radial operators, Partial differential equation techniques in transmutation, An inverse scattering problem for acoustic waves in a spherically stratified medium, A reflection principle for solutions to the Helmholtz equation and an application to the inverse scattering problem, On the solution of a class of the reduced wave equation and the Riccati differential equation, The scattering of acoustic waves by a spherically stratified inhomogeneous medium, A transmutation approach to underwater sound propagation, Transmutation via the momentum plane

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