NULL CONTROLLABILITY OF COUPLED SYSTEMS OF DEGENERATE PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS

被引：0

作者：

Allal, Brahim ^{[1
]}

Fragnelli, Genni ^{[2
]}

Salhi, Jawad ^{[3
]}

机构：

[1] Ibn Zohr Univ, Fac Appl Sci, IMIS Lab, At Melloul 86153, Morocco

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

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

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 2023卷 / 18期

关键词：

Carleman estimates; parabolic systems involving memory terms; observability inequality; null controllability; HEAT-EQUATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article concerns the null controllability of a coupled system of two degenerate parabolic integro-differential equations with one locally dis-tributed control force. Since the memory terms do not allow applying the standards Carleman estimates directly, we start by proving a null control-lability result for an associated nonhomogeneous degenerate coupled system employing new Carleman estimates with appropriate weight functions. As a consequence, we deduce the null controllability result for the initial memory system by using the Kakutani's fixed point Theorem.

引用

页码：1 / 22

页数：22

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