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On an inverse source problem for the heat equation. Application to a pollution detection problem
-
A. El Badia
and
T. Ha-Duong
Published/Copyright:
September 7, 2013
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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- CONTENTS
- Determination of a right-hand side term in an operator-differential equation of mixed type
- Regularization of parameter estimation by adaptive discretization using refinement and coarsening indicators
- On an inverse source problem for the heat equation. Application to a pollution detection problem
- Stability estimates for an inverse elliptic problem
- On solvability of an inverse problem with an unknown coefficient and right-hand side for a parabolic equation
- Iterative method for recovery a nonlinear source in a hyperbolic equation with final overdetermination
- Spectral properties and an inverse eigenvalue problem for non-symmetric systems of ordinary differential operators
Articles in the same Issue
- CONTENTS
- Determination of a right-hand side term in an operator-differential equation of mixed type
- Regularization of parameter estimation by adaptive discretization using refinement and coarsening indicators
- On an inverse source problem for the heat equation. Application to a pollution detection problem
- Stability estimates for an inverse elliptic problem
- On solvability of an inverse problem with an unknown coefficient and right-hand side for a parabolic equation
- Iterative method for recovery a nonlinear source in a hyperbolic equation with final overdetermination
- Spectral properties and an inverse eigenvalue problem for non-symmetric systems of ordinary differential operators
