On a general degenerate/singular parabolic equation with a nonlocal space term-Reference-Cited by-同舟云学术

On a general degenerate/singular parabolic equation with a nonlocal space term

Published:2023-03-13 Issue:12 Volume:46 Page:12473-12504
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Allal Brahim¹,Fragnelli Genni²^ORCID,Salhi Jawad³^ORCID

Affiliation:

1. Faculty of Applied Sciences, IMIS Laboratory Ibn Zohr University Aït‐Melloul 86153 Morocco

2. Department of Ecology and Biology Tuscia University Viterbo 01100 Italy

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

Abstract

In this paper, we study the null controllability for the problems associated to the operators where or and the functions and degenerate at an interior point . To this aim, as a first step, we study the well‐posedness, the Carleman estimates, and the null controllability for the associated nonhomogeneous degenerate and singular heat equations. Then, using Kakutani's fixed point Theorem, we deduce the null controllability property for the initial nonlocal problems.

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9190

Reference26 articles.

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2. Null controllability of degenerate parabolic operators with drift

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4. Interior degenerate/singular parabolic equations in nondivergence form: well-posedness and Carleman estimates

5. Carleman Estimates for a Class of Degenerate Parabolic Operators