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arxiv: 0809.0906 · v1 · submitted 2008-09-04 · 🧮 math-ph · math.MP

Stability for time-dependent inverse transport

classification 🧮 math-ph math.MP
keywords absorptionalbedooperatorparametersreconstructionscatteringstabilitytime-dependent
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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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