We consider an inverse problem of determining a spatially varying source term in a parabolic transmission problem. We establish a Lipschitz stability estimate in determining a source by a single measurement on an arbitrary subdomain over a time interval. Our method is a Carleman estimate for the transmission problem by Doubova, Osses and Puel (2002).
Editor-in-Chief: Kabanikhin, Sergey I.
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Inverse source problem for a transmission problem for a parabolic equation
∗Faculté des Sciences de Bizerte, Département des Mathematiques, 7021 Jarzouna Bizerte, Tunisia. E-mail: mourad.bellassoued@fsb.rnu.tn
†Department of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba Meguro, Tokyo 153, Japan. E-mail: myama@ms.u-tokyo.ac.jp
Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 14, Issue 1, Pages 47–56, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/156939406776237456,
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