2008/09/04 by Guillaume Bal, Bal, Guillaume, Alexandre Jollivet +1
Mathematics · Physics and Astronomy · #35R30 #82C70 #92C55 #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #math-ph #math.MP #msc:35R30 #msc:82C70 #msc:92C55
paper · pdf · doi:10.48550/arxiv.0809.0906
arxiv created 2008/09/04 · openalex publication_date 2008/09/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.