Vol. 1, No. 1, 2008

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ISSN: 1948-206X (e-only)
ISSN: 2157-5045 (print)
An inverse source problem in optical molecular imaging

Plamen Stefanov and 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 coefficients, 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 2000
Primary: 35R30
Secondary: 35Q60, 35S05
Milestones
Received: 28 March 2008
Revised: 27 June 2008
Accepted: 12 August 2008
Published: 2 October 2008
Authors
Plamen Stefanov
Department of Mathematics
Purdue University
150 N. University Street
West Lafayette, IN 47907-2067
United States
http://www.math.purdue.edu/~stefanov/
Gunther Uhlmann
Department of Mathematics
University of Washington
C-449 Padelford Hall
Box 354350
Seattle, WA 98195-4350
United States
http://www.math.washington.edu/~gunther/