A New Carleman Inequality for a Heat Equation in Presence of Singularities and Controllability Consequences-Reference-Cited by-同舟云学术

A New Carleman Inequality for a Heat Equation in Presence of Singularities and Controllability Consequences

Published:2020-03-25 Issue:1 Volume:27 Page:51-65
ISSN:1079-2724
Container-title:Journal of Dynamical and Control Systems
language:en
Short-container-title:J Dyn Control Syst

Author:

Sadali D.,Moulay M. S.

Publisher

Springer Science and Business Media LLC

Subject

Control and Optimization,Numerical Analysis,Algebra and Number Theory,Control and Systems Engineering

Link

http://link.springer.com/content/pdf/10.1007/s10883-020-09476-4.pdf

Reference15 articles.

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2. Belghazi A., Smadhi F., Zaidi N., Zair O. Carleman inequalities for the two-dimensional heat equation in singular domains. Math Control Relat Fields 2012;2(4): 331–359.

3. Bodart O, Fabre C. Controls insensitizing the norm of the solution of a semilinear heat equation. J Math Anal Appl 1995;195(3):658–683.

4. Bodart O, González-Burgos M, Pérez-García R. Insensitizing controls for a heat equation with a nonlinear term involving the state and the gradient. Nonlinear Anal 2004;57(5-6):687–711.

5. Carleman T. Sur un problème d’unicité pour les systèmes d’équations aux dérivées partielles à deux variables indépendantes. Ark Mat Astr Fys 1939;26(17): 1–9.

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