Idriss Boutaayamou, Jawad Salhi
Abstract:
We study the null controllability problem for linear degenerate parabolic
systems with one control force through Carleman estimates for the
associated adjoint problem. The novelty of this article is that for the
first time it is considered a problem with an interior degeneracy and a
control set that only requires to contain an interval lying on one side of
the degeneracy points. The obtained result improves and complements a number
of earlier works. As a consequence, observability inequalities are established.
Submitted October 14, 2016. Published November 30, 2016.
Math Subject Classifications: 35K65, 35K40, 35B45, 93B05, 93B07.
Key Words: Degenerate parabolic systems; interior degeneracy; one control force;
Carleman estimates, observability inequalities; null controllability.
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Idriss Boutaayamou Département de Mathématiques Informatiques et Gestion Faculté Polydisciplinaires de Ouarzazate Université Ibn Zohr B.P. 638, Ouarzazate 45000, Morocco email: dsboutaayamou@gmail.com |
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Jawad Salhi Faculté des Sciences et Techniques Université Hassan 1er, Laboratoire MISI B.P. 577, Settat 26000, Morocco email: sj.salhi@gmail.com |
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