Article detail · 2014
Global Lipschitz stability in determining coefficients of the radiative transport equation
- Year
- 2014
- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- YÖKSİS venue Inverse Problems
- Catalog match (ISSN) Inverse Problems
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
In this paper, for the radiative transport equation, we study inverse problems of determining a time-independent scattering coefficient or total attenuation by boundary data on the complementary sub-boundary after making a one time input of a pair of a positive initial value and boundary data on a suitable sub-boundary.The main results are Lipschitz stability estimates.We can also prove the reverse inequalities, which means that our estimates for the inverse problems are the best possible.The proof is based on a Carleman estimate with a linear weight function.
Topics
Citations
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36 citations
OpenAlex cited_by_count (cache / database)
12 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- Stability for some inverse problems for transport equations 2016
- Stability for Some Inverse Problems for Transport Equations 2016
- Inverse coefficient problems for a transport equation by local Carleman estimate 2019
- Inverse coefficient problems for a transport equation by local Carleman estimate 2019
- Observability Inequalities for Transport Equations through Carleman Estimates 2019
- Global Lipschitz stability for inverse problems for radiative transport equations 2020
- Inverse Problems for a Compressible Fluid System 2020
- A Carleman estimate and an energy method for a first-order symmetric hyperbolic system 2022
- Numerical recovery of unknown source in a kinetic equation with absorption and scattering via an interior measurement 2026
- A computational approach to an inverse source problem for a kinetic equation with gradient-type boundary data and an interior point observation 2026