NULL CONTROLLABILITY FOR DEGENERATE PARABOLIC EQUATIONS WITH A NONLOCAL SPACE TERM

被引：0

作者：

Allal, Brahim ^{[1
]}

Fragnelli, Genni ^{[2
]}

Salhi, Jawad ^{[3
]}

机构：

[1] Univ Ibn Zohr, Dept Math, Fac Appl Sci, Ait Melloul 86153, Morocco

[2] Tuscia Univ, Dept Ecol & Biol, I-01100 Viterbo, Italy

[3] Moulay Ismail Univ Meknes, MAIS Lab, MAMCS Grp, FST Errachidia, POB 509, Errachidia 52000, Morocco

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2022年

关键词：

Null controllability; Carleman estimates; degenerate parabolic equation; nonlocal terms; HEAT;

D O I：

10.3934/dcdss.202216

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider two degenerate heat equations with a nonlocal space term, studying, in particular, their null controllability property. To this aim, we first consider the associated nonhomogeneous degenerate heat equations: we study their well posedness, the Carleman estimates for the associated adjoint problems and, finally, the null controllability. Then, as a consequence, using the Kakutani's fixed point Theorem, we deduce the null controllability property for the initial nonlocal problems.

引用

页数：36

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