Analysis of the inverse Born series: an approach
Abstract
We analyze the convergence and approximation error of the inverse Born series, obtaining results that hold under qualitatively weaker conditions than previously known. Our approach makes use of tools from geometric function theory in Banach spaces. An application to the inverse scattering problem with diffuse waves is described.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2022
- DOI:
- 10.48550/arXiv.2201.04689
- arXiv:
- arXiv:2201.04689
- Bibcode:
- 2022arXiv220104689H
- Keywords:
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- Mathematics - Analysis of PDEs;
- Mathematical Physics