Control of the Grushin equation: non-rectangular control region and minimal time
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Publication:5109173
DOI10.1051/cocv/2019001zbMath1447.93025arXiv1807.01241OpenAlexW2963908280MaRDI QIDQ5109173
Publication date: 11 May 2020
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.01241
Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Degenerate parabolic equations (35K65) Observability (93B07)
Related Items
Minimal time issues for the observability of Grushin-type equations, Sharp resolvent estimate for the damped-wave Baouendi-Grushin operator and applications, Null-controllability properties of the generalized two-dimensional Baouendi-Grushin equation with non-rectangular control sets, Subelliptic wave equations are never observable, A block moment method to handle spectral condensation phenomenon in parabolic control problems, Observability and controllability for the Schrödinger equation on quotients of groups of Heisenberg type, Critical time for the observability of Kolmogorov-type equations, Analysis of the null controllability of degenerate parabolic systems of Grushin type via the moments method
Cites Work
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- Minimal time for the null controllability of parabolic systems: the effect of the condensation index of complex sequences
- Local null controllability of the three-dimensional Navier-Stokes system with a distributed control having two vanishing components
- 2\textsc{d} Grushin-type equations: minimal time and null controllable data
- Heat equation on the Heisenberg group: observability and applications
- New phenomena for the null controllability of parabolic systems: minimal time and geometrical dependence
- Recent results on the controllability of linear coupled parabolic problems: a survey
- Boundary controllability of parabolic coupled equations
- Positive and negative results on the internal controllability of parabolic equations coupled by zero- and first-order terms
- Non-null-controllability of the Grushin operator in 2D
- Quantitative Fattorini-Hautus test and minimal null control time for parabolic problems
- Minimal time issues for the observability of Grushin-type equations
- Null controllability of Grushin-type operators in dimension two
- Exact controllability theorems for linear parabolic equations in one space dimension
- GLOBAL CARLEMAN ESTIMATES FOR DEGENERATE PARABOLIC OPERATORS WITH APPLICATIONS
- Contróle Exact De Léquation De La Chaleur
- Null-controllability of hypoelliptic quadratic differential equations
- Controllability of a 2 × 2 parabolic system by one force with space-dependent coupling term of order one
- Degenerate parabolic operators of Kolmogorov type with a geometric control condition
- Observability for the one-dimensional heat equation
- Approximate controllability for a 2D Grushin equation with potential having an internal singularity
