The Backscattering Problem for Time-Dependent Potentials

Abstract We study the inverse backscattering problem for time-dependent potentials. We prove uniqueness and Lipschitz stability for the recovery of small potentials.

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Publication Details

Journal
Annales Henri Poincaré
Published
2025-05-08
DOI
https://doi.org/10.1007/s00023-025-01579-7
Primary Topic
Microwave Imaging and Scattering Analysis
Type
article
Field-Weighted Citation Impact
0.00

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article

The Backscattering Problem for Time-Dependent Potentials

Medet Nursultanov, Lauri Oksanen, Plamen Stefanov
Annales Henri Poincaré
Microwave Imaging and Scattering Analysis
article

The Backscattering Problem for Time-Dependent Potentials

Medet Nursultanov, Lauri Oksanen, Plamen Stefanov
article en

Abstract

Abstract We study the inverse backscattering problem for time-dependent potentials. We prove uniqueness and Lipschitz stability for the recovery of small potentials.

Annales Henri Poincaré
Statistics Finland (FI), University of Helsinki (FI), Purdue University West Lafayette (US), Institute of Mathematics and Mathematical Modeling (KZ)
National Science Foundation, Helsingin Yliopisto, Helsingin ja Uudenmaan Sairaanhoitopiiri, European Commission, Academy of Finland, Ministry of Education and Science of the Republic of Kazakhstan
Openalex Percentile: Top 91%
Microwave Imaging and Scattering Analysis
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