## Abstract

- 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 Γ_{0}*× *(0*, T*), where Γ_{0} 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 . . .

Published Online: 2013-09-07Published in Print: 2002-12-01Citation Information:Journal of Inverse and Ill-posed Problems. Volume 10, Issue 6, Pages 585–599, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/jiip.2002.10.6.585, September 2013