On the controllability of linear parabolic equations with an arbitrary control location for stratified media

DOI10.1016/j.crma.2007.01.012zbMath1115.35055OpenAlexW2057958138MaRDI QIDQ876100

Assia Benabdallah, Yves Dermenjian, Jérôme H. Le Rousseau

Publication date: 16 April 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.2007.01.012

Mathematics Subject Classification ID

Controllability (93B05) Initial-boundary value problems for second-order parabolic equations (35K20) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (13)

Controllability of a parabolic system with a diffuse interface ⋮ Analysis of non scalar control problems for parabolic systems by the block moment method ⋮ Null-controllability of the Kolmogorov equation in the whole phase space ⋮ Null controllability of Grushin-type operators in dimension two ⋮ Heat equation on the Heisenberg group: observability and applications ⋮ Null controllability of Kolmogorov-type equations ⋮ Null controllability of three-dimensional heat equation in singular domains ⋮ Carleman estimates for stratified media ⋮ Carleman estimate for elliptic operators with coefficients with jumps at an interface in arbitrary dimension and application to the null controllability of linear parabolic equations ⋮ Controllability of some collisional and non-collisional kinetic equations: Fokker-Planck and Vlasov-Navier-Stokes ⋮ Carleman estimates for the heat equation with discontinuous diffusion coefficients ⋮ Controllability of a parabolic system with a diffusive interface ⋮ Null controllability of degenerate parabolic equations of Grushin and Kolmogorov type

Cites Work

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• Carleman estimates and controllability results for the one-dimensional heat equation with BV coefficients
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• Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications to controllability and an inverse problem
• Contróle Exact De Léquation De La Chaleur
• Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients
• Global Carleman Inequalities for Parabolic Systems and Applications to Controllability
• Null-controllability of one-dimensional parabolic equations
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems

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