A new Carleman inequality for a heat equation in presence of singularities and controllability consequences

DOI10.1007/s10883-020-09476-4zbMath1466.35252OpenAlexW3013969052MaRDI QIDQ2660553

D. Sadali, Mohamed Said Moulay

Publication date: 30 March 2021

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-020-09476-4

zbMATH Keywords

singularitiesmixed boundary conditionsCarleman inequalitiesnull controllablility

Mathematics Subject Classification ID

Controllability (93B05) Initial-boundary value problems for second-order parabolic equations (35K20) Observability (93B07) Semilinear parabolic equations (35K58)

Related Items (1)

Finite-time stabilization and Impulse control of heat equation with dynamic boundary conditions

Cites Work

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• Null and approximate controllability for weakly blowing up semilinear heat equations
• Contrôlabilité exacte des solutions de l'équation des ondes en présence de singularités. (Exact controllability of solutions to the wave equation under presence of singularities)
• Insensitizing controls for a heat equation with a nonlinear term involving the state and the gradient
• Controls insensitizing the norm of the solution of a semilinear heat equation
• Carleman inequalities for the two-dimensional heat equation in singular domains
• Exact controllability for semilinear parabolic equations with Neumann boundary conditions
• Contróle Exact De Léquation De La Chaleur
• Controllability results for the two-dimensional heat equation with mixed boundary conditions using Carleman inequalities: a linear and a semilinear case
• Insensitizing controls for a semilinear heat equation
• Global Carleman Inequalities for Parabolic Systems and Applications to Controllability

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