Carleman estimates and null controllability for boundary-degenerate parabolic operators

DOI10.1016/j.crma.2008.12.011zbMath1162.35330OpenAlexW1995788739MaRDI QIDQ1004544

Judith Vancostenoble, Piermarco Cannarsa, Patrick Martinez

Publication date: 11 March 2009

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

Full work available at URL: http://hdl.handle.net/2108/102773

Mathematics Subject Classification ID

Controllability (93B05) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45)

Related Items (28)

GLOBAL CARLEMAN ESTIMATES FOR DEGENERATE PARABOLIC OPERATORS WITH APPLICATIONS ⋮ Indirect internal controllability of weakly coupled degenerate wave equations ⋮ Null-controllability of hypoelliptic quadratic differential equations ⋮ Null-controllability of non-autonomous Ornstein-Uhlenbeck equations ⋮ Null controllability for a class of stochastic singular parabolic equations with the convection term ⋮ Minimal time issues for the observability of Grushin-type equations ⋮ Carleman estimates and null controllability of a class of singular parabolic equations ⋮ Exact controllability of wave equations with interior degeneracy and one-sided boundary control ⋮ Local exact controllability to the trajectories of Burgers-Fisher equation ⋮ The cost of null controllability for a backward stochastic degenerate parabolic equation in the vanishing viscosity limit ⋮ Null controllability of some degenerate wave equations ⋮ Inverse Coefficient Problem for Grushin-Type Parabolic Operators ⋮ Null controllability of Grushin-type operators in dimension two ⋮ Approximate controllability of a class of semilinear degenerate systems with boundary control ⋮ 2\textsc{d} Grushin-type equations: minimal time and null controllable data ⋮ Heat equation on the Heisenberg group: observability and applications ⋮ Flatness for a strongly degenerate 1-D parabolic equation ⋮ Null controllability of Kolmogorov-type equations ⋮ Null Controllability of One-dimensional Parabolic Equations by the Flatness Approach ⋮ Sharp Carleman estimates for singular parabolic equations and application to Lipschitz stability in inverse source problems ⋮ Approximate controllability for a 2D Grushin equation with potential having an internal singularity ⋮ Carleman estimates and null controllability for boundary-degenerate parabolic operators ⋮ Approximate controllability of a semilinear system involving a fully nonlinear gradient term ⋮ Lipschitz Stability in Inverse Source Problems for Singular Parabolic Equations ⋮ Degenerate parabolic operators of Kolmogorov type with a geometric control condition ⋮ Null controllability of a coupled degenerate system with the first and zero order terms by a single control ⋮ Control and Stabilization of Degenerate Wave Equations ⋮ Null controllability of degenerate parabolic equations of Grushin and Kolmogorov type

Cites Work

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• Carleman estimates and null controllability for boundary-degenerate parabolic operators
• Carleman Estimates for a Class of Degenerate Parabolic Operators
• Contróle Exact De Léquation De La Chaleur
• Remarques sur l'observabilité pour l'équation de Laplace
• Backward uniqueness for the heat operator in a half-space
• On the lack of null-controllability of the heat equation on the half space

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