Analysis of the inverse Born series: an approach through geometric function theory
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Publication:5081793
DOI10.1088/1361-6420/ac661fzbMath1491.35459arXiv2201.04689OpenAlexW4223542546MaRDI QIDQ5081793
John C. Schotland, Jeremy G. Hoskins
Publication date: 17 June 2022
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.04689
Inverse problems for PDEs (35R30) Asymptotic expansions of solutions to PDEs (35C20) Geometric function theory (30C99) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Related Items (3)
Norm-dependent convergence and stability of the inverse scattering series for diffuse and scalar waves ⋮ The inverse Rytov series for diffuse optical tomography ⋮ Born and inverse Born series for scattering problems with Kerr nonlinearities
Cites Work
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- 12. Inverse Born series
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- Inverse scattering series and seismic exploration
- Approximate inverse for linear and some nonlinear problems
- Optical tomography on graphs
- Convergence of the Born and inverse Born series for electromagnetic scattering
- Inverse Born series for the Calderon problem
- Restarted inverse Born series for the Schrödinger problem with discrete internal measurements
- Construction of a Potential from a Phase Shift
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