Carleman estimates and controllability results for the one-dimensional heat equation with \(BV\) coefficients

DOI10.1016/j.crma.2006.12.011zbMath1134.93009OpenAlexW1968733396MaRDI QIDQ868967

Jérôme H. Le Rousseau

Publication date: 26 February 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.12.011

zbMATH Keywords

Carleman estimates for one-dimensional parabolic operatorscontrollability to trajectories of semilinear parabolic equations

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Heat equation (35K05)

Cites Work

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• Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient, and applications
• Exact controllability of the superlinear heat equation
• Null and approximate controllability for weakly blowing up semilinear heat equations
• On the null controllability of the one-dimensional heat equation with BV coefficients
• Contróle Exact De Léquation De La Chaleur
• Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients
• On the Controllability of Parabolic Systems with a Nonlinear Term Involving the State and the Gradient
• A Unified Boundary Controllability Theory for Hyperbolic and Parabolic Partial Differential Equations
• Null-controllability of one-dimensional parabolic equations

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