Stability estimates in stationary inverse transport

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dc.creatorBal, Guillaume
dc.creatorJollivet, Alexandre
dc.date2008-04-08
dc.date.accessioned2026-07-07T12:43:09Z
dc.date.available2026-07-07T12:43:09Z
dc.descriptionWe study the stability of the reconstruction of the scattering and absorption coefficients in a stationary linear transport equation from knowledge of the full albedo operator in dimension $n\geq3$. The albedo operator is defined as the mapping from the incoming boundary conditions to the outgoing transport solution at the boundary of a compact and convex domain. The uniqueness of the reconstruction was proved in [M. Choulli-P. Stefanov, 1996 and 1999] and partial stability estimates were obtained in [J.-N. Wang, 1999] for spatially independent scattering coefficients. We generalize these results and prove an $L^1$-stability estimate for spatially dependent scattering coefficients.
dc.identifierhttps://arxiv.org/abs/0804.1320
dc.identifierhttp://arxiv.org/abs/0804.1320
dc.identifierInverse Problems and Imaging 2, 4 (2008) 427-454
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220324
dc.subjectMathematical Physics
dc.subject35R30; 45Q05; 82C70
dc.titleStability estimates in stationary inverse transport
dc.typetext

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