Null controllability of coupled systems of degenerate parabolic integro-differential equations

Electronic Journal of Differential Equations

article

Brahim Allal¹  Genni Fragnelli²  Jawad Salhi³ 

[1]Ibn Zohr University Faculty of Applied Sciences IMIS Laboratory 86153 At-Melloul

[2]Department of Ecological and Biological Sciences Tuscia University Largo dell'Università 01100 Viterbo

[3]Moulay Ismail University of Meknes FST Errachidia MAIS Laboratory, MAMCS Group P.O. Box 509 Boutalamine 52000 Errachidia

关键词: Carleman estimates;    parabolic systems involving memory terms;    observability inequality;    null controllability;   

DOI  :  10.58997/ejde.2023.18

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

This article concerns the null controllability of a coupled system of two degenerate parabolic integro-differential equations with one locally distributed control force. Since the memory terms do not allow applying the standards Carleman estimates directly, we start by proving a null controllability 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.

【 授权许可】

CC BY