Inverse scattering for the Laplace–Beltrami operator with complex electromagnetic potentials and embedded obstacles

DOI10.1088/0266-5611/22/5/005zbMath1106.35138OpenAlexW2091856056WikidataQ125589656 ScholiaQ125589656MaRDI QIDQ3419291

Stephen O'Dell

Publication date: 6 February 2007

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/22/5/005

zbMATH Keywords

uniquenessGreen's functionmixed boundary conditionsDirichlet-to-Neumann operatorinverse obstacle scatteringpartially coated obstacles

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Diffraction, scattering (78A45) General theory of partial differential operators (47F05) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

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Analytic extension and reconstruction of obstacles from few measurements for elliptic second order operators ⋮ Inverse problems with partial data for a magnetic Schrödinger operator in an infinite slab and on a bounded domain ⋮ Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators ⋮ Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations ⋮ Optical Aharonov-Bohm effect: an inverse hyperbolic problems approach ⋮ Aharonov–Bohm effect revisited

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