Idriss Boutaayamou, Genni Fragnelli, Lahcen Maniar
Abstract:
In this article, we study an inverse problem for linear degenerate 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, which contains degeneracy points.
The key ingredient is the derivation of a Carleman-type estimate.
Submitted June 28, 2014. Published July 30, 2014.
Math Subject Classifications: 35k65.
Key Words: Parabolic system; interior degeneracy; Carleman estimates;
Lipschitz stability.
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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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Genni Fragnelli Dipartimento di Matematica Universitá degli Studi di Bari Aldo Moro Via E. Orabona 4, 70125 Bari - Italy email: genni.fragnelli@uniba.it |
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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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