Electron. J. Diff. Equ.,
Vol. 2014 (2014), No. 149, pp. 1-15.
Lipschitz stability for degenerate parabolic systems
Idriss Boutaayamou, Abdelkarim Hajjaj, Lahcen Maniar
Abstract:
In this article, we study an inverse problem for weakly degenerate
coupled parabolic systems with one force.
We establish Lipschitz stability for the source term from measurements
of one component of the solution at a positive time and on a subset
of the space domain. The key ingredient is the derivation of a Carleman-type
estimate.
Submitted October 4, 2013. Published June 26, 2014.
Math Subject Classifications: 35K65.
Key Words: Degenerate parabolic system; Carleman estimate; Lipschitz stability;
inverse problem.
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Idriss Boutaayamou
Département de Mathématiques
Faculté des Sciences Semlalia,
LMDP, UMMISCO (IRD-UPMC)
Université Cadi Ayyad, Marrakech 40000, B.P. 2390, Morocco
email: dsboutaayamou@gmail.com
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Abdelkarim Hajjaj
Faculté des Sciences et Techniques
Université Hassan 1er, Laboratoire MISI
B.P. 577, Settat 26000, Morocco
email: abdelkarim.hajjaj@uhp.ac.ma
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Lahcen Maniar
Département de Mathématiques
Faculté des Sciences Semlalia, LMDP, UMMISCO (IRD-UPMC)
Université Cadi Ayyad, Marrakech 40000, B.P. 2390, Morocco
email: maniar@uca.ma
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