Fixed Angle Scattering: Recovery of Singularities and Its Limitations

DOI10.1137/18M1164871zbMath1401.35347arXiv1801.04578WikidataQ129045625 ScholiaQ129045625MaRDI QIDQ4961559

Cristóbal J. Meroño

Publication date: 25 October 2018

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.04578

zbMATH Keywords

inverse problemsSchrödinger equationinverse scatteringborn approximation

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Inverse scattering problems in quantum theory (81U40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (7)

The Born approximation in the three-dimensional Calderón problem. II: Numerical reconstruction in the radial case ⋮ Fixed Angle Inverse Scattering for Sound Speeds Close to Constant ⋮ Live load matrix recovery from scattering data in linear elasticity ⋮ Recovery of the singularities of a potential from backscattering data in general dimension ⋮ The double dispersion operator in backscattering: Hölder estimates and optimal Sobolev estimates for radial potentials ⋮ The fixed angle scattering problem with a first-order perturbation ⋮ The Born approximation in the three-dimensional Calderón problem

Cites Work

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