A reflection principle for solutions to the Helmholtz equation and an application to the inverse scattering problem
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Publication:4126745
DOI10.1017/S0017089500003165zbMath0355.35020MaRDI QIDQ4126745
Publication date: 1977
Published in: Glasgow Mathematical Journal (Search for Journal in Brave)
Inverse problems for PDEs (35R30) Integral representations of solutions to PDEs (35C15) Analyticity in context of PDEs (35A20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
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Cites Work
- Reflection principles for linear elliptic second order partial differential equations with constant coefficients
- On solutions of the Helmholtz equation in exterior domains
- Constructive methods for elliptic equations
- Integral operators and reflection principles for parabolic equations in one space variable
- On the electromagnetic inverse scattering problem
- Continuation and reflection of solutions of partial differential equations
- Singularities of Solutions to Exterior Analytic Boundary Value Problems for the Helmholtz Equation in Three Independent Variables. I: The Plane Boundary
- 8.—Constructive Methods for Solving the Exterior Neumann Problem for the Reduced Wave Equation in a Spherically Symmetric Medium
- ON THE INVERSE SCATTERING PROBLEM FOR AXIALLY SYMMETRIC SOLUTIONS OF THE HELMHOLTZ EQUATION
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