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An inverse source
problem in optical molecular imaging
Plamen Stefanov and Gunther Uhlmann |
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Vol. 1 (2008), No. 1, 115–126
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Abstract |
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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
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Mathematical Subject Classification 2000
Primary: 35R30
Secondary: 35Q60, 35S05
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Milestones
Received: 28 March 2008
Revised: 27 June 2008
Accepted: 12 August 2008
Published: 2 October 2008
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Authors |
| Plamen Stefanov | |
| Department of Mathematics Purdue University 150 N. University Street West Lafayette, IN 47907-2067 United States |
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| 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 |
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| http://www.math.washington.edu/~gunther/ | |
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