Stability for time-dependent inverse transport
Guillaume Bal, Alexandre Jollivet
TL;DR
This paper establishes optimal stability results for reconstructing absorption and scattering parameters in a time-dependent linear transport equation from boundary measurements, advancing inverse problem understanding.
Contribution
It provides the first optimal stability estimates for the inverse problem of reconstructing parameters in a time-dependent transport model from boundary data.
Findings
Optimal stability estimates for absorption parameters
Optimal stability estimates for scattering parameters
Enhanced understanding of inverse transport problems
Abstract
This paper concerns the reconstruction of the absorption and scattering parameters in a time-dependent linear transport equation from full knowledge of the albedo operator at the boundary of a bounded domain of interest. We present optimal stability results on the reconstruction of the absorption and scattering parameters for a given error in the measured albedo operator.
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Taxonomy
TopicsNumerical methods in inverse problems · Spectral Theory in Mathematical Physics · Advanced Thermodynamics and Statistical Mechanics