Abdelkarim Hajjaj, Lahcen Maniar, Jawad Salhi
Abstract:
We study null controllability properties for parabolic coupled systems
with degeneracy and singularity occurring in the interior of the spatial domain.
This article is the first to consider a problem with singular coupling terms;
previous result cannot be adapted to this situation.
In particular, we focus on the well posedness of the problem and then
we prove Carleman estimates for the associated adjoint problem.
Submitted March 25, 2016. Published November 11, 2016.
Math Subject Classifications: 35K67, 35K65, 35K40, 35B45, 93B07, 93B05.
Key Words: Carleman estimates; singular degenerate equations; coupled systems;
observability inequality; null controllability.
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| Abdelkarim Hajjaj Laboratoire MISI, FST Univ. Hassan 1, B.P. 577 26000 Settat, Morocco email: abdelkarim.hajjaj@uhp.ac.ma |
| 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, lahcenmaniar@gmail.com |
| Jawad Salhi Laboratoire MISI, FST Univ. Hassan 1, B.P. 577 26000 Settat, Morocco email: sj.salhi@gmail.com |
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