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2008 An inverse source problem in optical molecular imaging
Plamen Stefanov, Gunther Uhlmann
Anal. PDE 1(1): 115-126 (2008). DOI: 10.2140/apde.2008.1.115

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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Plamen Stefanov. Gunther Uhlmann. "An inverse source problem in optical molecular imaging." Anal. PDE 1 (1) 115 - 126, 2008. https://doi.org/10.2140/apde.2008.1.115

Information

Received: 28 March 2008; Revised: 27 June 2008; Accepted: 12 August 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1171.35126
MathSciNet: MR2444095
Digital Object Identifier: 10.2140/apde.2008.1.115

Subjects:
Primary: 35R30
Secondary: 35Q60 , 35S05

Keywords: inverse problem , optical molecular imaging , tomography , transport equation

Rights: Copyright © 2008 Mathematical Sciences Publishers

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