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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

6 Issues per year


IMPACT FACTOR 2016: 0.783
5-year IMPACT FACTOR: 0.792

CiteScore 2016: 0.80

SCImago Journal Rank (SJR) 2015: 0.583
Source Normalized Impact per Paper (SNIP) 2015: 1.106

Mathematical Citation Quotient (MCQ) 2015: 0.43

Online
ISSN
1569-3945
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In This Section
Volume 10, Issue 6 (Dec 2002)

Issues

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

A. El Badia
  • Corresponding author
  • Universite de Technologie de Compiegne, Laboratoire de Mathematiques Appliques de Compiegne, B.P. 20529, 60205 Compiegne cedex, France
  • Email:
/ T. Ha-Duong
  • Corresponding author
  • Universite de Technologie de Compiegne, Laboratoire de Mathematiques Appliques de Compiegne, B.P. 20529, 60205 Compiegne cedex, France
  • Email:
Published Online: 2013-09-07 | DOI: https://doi.org/10.1515/jiip.2002.10.6.585

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 . . .

About the article

Published Online: 2013-09-07

Published in Print: 2002-12-01



Citation Information: Journal of Inverse and Ill-posed Problems, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/jiip.2002.10.6.585. Export Citation

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Inverse Problems, 2007, Volume 23, Number 5, Page 2103
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[28]
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[29]
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