Impulse controllability for the heat equation with inverse square potential and dynamic boundary conditions-Reference-Cited by-同舟云学术

Impulse controllability for the heat equation with inverse square potential and dynamic boundary conditions

Published:2023-05-10 Issue:2 Volume:40 Page:353-384
ISSN:0265-0754
Container-title:IMA Journal of Mathematical Control and Information
language:en
Short-container-title:

Author:

Baroun Mahmoud¹,El Baggari Hind¹,Ouled Driss Ilham¹,Boulite Said²^ORCID

Affiliation:

1. Cadi Ayyad University, Faculty of Sciences Semlalia , LMDP, UMMISCO (IRD-UPMC), B.P. 2390, Marrakesh , Morocco

2. Cadi Ayyad University, National School of Applied Sciences of Marrakech , LMDP, UMMISCO (IRD-UPMC), B.P. 575, Marrakesh , Morocco

Abstract

Abstract In this paper, we investigate the null approximate impulse controllability of the heat equation with an inverse square potential subject to dynamic boundary conditions in the ball $B(0, R_{0})$ of radius $R_{0}=\left (\frac{4}{3}\right )^{\frac{3}{2}}$. To that purpose, we use the Carleman commutator approach to show a logarithmic convexity estimate traducing an observability inequality at one instant of time.

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Control and Optimization,Control and Systems Engineering

Link

https://academic.oup.com/imamci/article-pdf/40/2/353/50626609/dnad012.pdf

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