An inverse source problem in optical molecular imaging

2008/03/28 by Plamen Stefanov, Günther Uhlmann, Stefanov, Plamen +1
Engineering · Mathematics · Medicine · #35R30 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Optical Imaging and Spectroscopy Techniques #Photoacoustic and Ultrasonic Imaging

paper · pdf · doi:10.48550/arxiv.0803.4034

openalex publication_date 2008/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the direct and an inverse source problem for the radiative transfer equation arising in optical molecular imaging. We show that for generic absorption and scattering coefficients, the direct problem is well-posed and the inverse one is uniquely solvable, with a stability estimate.

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