The vector Helmholtz equation revisited: inverse obstacle scattering

DOI10.1016/j.jmaa.2022.126821zbMath1505.35103OpenAlexW4307723346MaRDI QIDQ2102102

Rainer Kress

Publication date: 28 November 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126821

zbMATH Keywords

uniquenessscattering problemvector Helmholtz equation

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Cites Work

• On the exterior boundary-value problem for the time-harmonic Maxwell equations
• Zur Lösungstheorie der zeitunabhängigen Maxwellschen Gleichungen mit der Randbedingung \(n \cdot B = n \cdot D = 0\) in anisotropen, inhomogenen Medien
• On the exterior boundary value problem of perfect reflection for stationary electromagnetic wave fields
• Karp's Theorem in Electromagnetic Scattering Theory
• On an exterior boundary‐value problem for the time‐harmonic maxwell equations with boundary conditions for the normal components of the electric and magnetic field
• The DB Boundary Condition in Electromagnetic Scattering Revisited
• Inverse Acoustic and Electromagnetic Scattering Theory
• Integral Equation Methods in Scattering Theory
• Uniqueness Theorems for an Exterior Electromagnetic Field

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