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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

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On an inverse source problem for the heat equation. Application to a pollution detection problem

1Universite de Technologie de Compiegne, Laboratoire de Mathematiques Appliques de Compiegne, B.P. 20529, 60205 Compiegne cedex, France

Citation Information: Journal of Inverse and Ill-posed Problems. Volume 10, Issue 6, Pages 585–599, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/jiip.2002.10.6.585, September 2013

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- We consider the problem of identification of a heat source in a bounded domain Ω. Assuming that the point sources became inactive after the time T∗, we prove that they can be identified by measurements of the heat flux on Γ0× (0, T), where Γ0 is a part of the boundary of Ω, with non void interior, and T > T∗. By a standard trandformation, we derive from these results a method to identify the polluting sources on the surface of a river, a lake . . .

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