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Journal of Inverse and Ill-posed Problems

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Inverse source problem for a transmission problem for a parabolic equation

M. Bellassoued / M. Yamamoto

Faculté des Sciences de Bizerte, Département des Mathematiques, 7021 Jarzouna Bizerte, Tunisia. E-mail:

Department of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba Meguro, Tokyo 153, Japan. E-mail:

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,

Publication History

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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).

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