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Licensed Unlicensed Requires Authentication Published by De Gruyter September 7, 2013

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

  • A. El Badia EMAIL logo and T. Ha-Duong EMAIL logo

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 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 . . .

Published Online: 2013-09-07
Published in Print: 2002-12

© 2013 by Walter de Gruyter GmbH & Co.

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