Vol. 1, No. 1, 2008
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An inverse source problem in optical molecular imaging

Plamen Stefanov & Gunther Uhlmann

Vol. 1 (2008), No. 1, 115-126
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 coeficients, the direct problem is well-posed and the inverse one is uniquely solvable, with a stability estimate.
Keywords

transport equation, optical molecular imaging, inverse problem, tomography

Mathematical Subject Classification

Primary: 35R30

Secondary: 35Q60, 35S05
Authors
Plamen Stefanov
Department of Mathematics
Purdue University
150 N. University Street
West Lafayette, IN 47907-2067
United States
Gunther Uhlmann
Department of Mathematics
University of Washington
C-449 Padelford Hall
Box 354350
Seattle, WA 98195-4350
United States