Carleman estimates for parabolic equations with interior degeneracy and Neumann boundary conditions

被引：25

作者：

Boutaayamou, Idriss ^{[1
]}

Fragnelli, Genni ^{[2
]}

Maniar, Lahcen ^{[3
]}

机构：

[1] Univ Ibn Zohr, Fac Polydisciplinaire Ouarzazate, Dept Math Informat & Gest, BP 638, Ouarzazate, Morocco

[2] Univ Bari Aldo Moro, Dipartimento Matemat, Via E Orabona 4, I-70125 Bari, Italy

[3] Univ Cadi Ayyad, UMMISCO IRD UPMC, LMDP, Dept Math,Fac Sci Semlalia, BP 2390, Marrakech 40000, Morocco

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2018年 / 135卷 / 01期

关键词：

NULL CONTROLLABILITY; OBSERVABILITY; INEQUALITIES;

D O I：

10.1007/s11854-018-0030-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a parabolic problem with degeneracy in the interior of the spatial domain and Neumann boundary conditions. In particular, we focus on the well-posedness of the problem and on Carleman estimates for the associated adjoint problem. The novelty of the present paper is that, for the first time, the problem is considered as one with an interior degeneracy and Neumann boundary conditions, so no previous result can be adapted to this situation. As a consequence, new observability inequalities are established.

引用

页码：1 / 35

页数：35

共 24 条

[1] Carleman estimates for degenerate parabolic operators with applications to null controllability [J].