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Null controllability of Grushin-type operators in dimension two.
K Beauchard, P Cannarsa, R Guglielmi - Journal of the European …, 2014 - ems.press
We study the null controllability of the parabolic equation associated with the Grushintype
operator A=∂ 2 x+| x| 2γ∂ 2 y (γ> 0) in the rectangle=(− 1, 1)×(0, 1), under an additive …
operator A=∂ 2 x+| x| 2γ∂ 2 y (γ> 0) in the rectangle=(− 1, 1)×(0, 1), under an additive …
Null controllability of the heat equation using flatness
We derive in a direct and rather straightforward way the null controllability of the N-
dimensional heat equation in a bounded cylinder with boundary control at one end of the …
dimensional heat equation in a bounded cylinder with boundary control at one end of the …
Null controllability of one-dimensional parabolic equations by the flatness approach
We consider linear one-dimensional parabolic equations with space dependent coefficients
that are only measurable and that may be degenerate or singular. Considering generalized …
that are only measurable and that may be degenerate or singular. Considering generalized …
[LIBRO][B] Carleman estimates, observability inequalities and null controllability for interior degenerate non smooth parabolic equations
G Fragnelli, D Mugnai - 2016 - ams.org
We consider a parabolic problem with degeneracy in the interior of the spatial domain, and
we focus on observability results through Carleman estimates for the associated adjoint …
we focus on observability results through Carleman estimates for the associated adjoint …
[HTML][HTML] 2D Grushin-type equations: minimal time and null controllable data
K Beauchard, L Miller, M Morancey - Journal of Differential Equations, 2015 - Elsevier
We study internal null controllability for degenerate parabolic equations of Grushin-type G
γ=∂ xx 2+| x| 2 γ∂ yy 2 (γ> 0), in the rectangle (x, y)∈ Ω=(− 1, 1)×(0, 1). Previous works …
γ=∂ xx 2+| x| 2 γ∂ yy 2 (γ> 0), in the rectangle (x, y)∈ Ω=(− 1, 1)×(0, 1). Previous works …
Stackelberg–Nash null controllability for some linear and semilinear degenerate parabolic equations
This paper deals with the application of Stackelberg–Nash strategies to the null
controllability of degenerate parabolic equations. We assume that we can act on the system …
controllability of degenerate parabolic equations. We assume that we can act on the system …
Carleman estimates and observability inequalities for parabolic equations with interior degeneracy
We consider a parabolic problem with degeneracy in the interior of the spatial domain, and
we focus on Carleman estimates for the associated adjoint problem. The novelty of interior …
we focus on Carleman estimates for the associated adjoint problem. The novelty of interior …
Carleman estimates for parabolic equations with interior degeneracy and Neumann boundary conditions
We consider a parabolic problem with degeneracy in the interior of the spatial domain and
Neumann boundary conditions. In particular, we focus on the well-posedness of the problem …
Neumann boundary conditions. In particular, we focus on the well-posedness of the problem …
Degenerate parabolic operators of Kolmogorov type with a geometric control condition
K Beauchard, B Helffer, R Henry… - … : Control, Optimisation and …, 2015 - numdam.org
We consider Kolmogorov-type equations on a rectangle domain (x, v)∈ Ω= T×(− 1, 1), that
combine diffusion in variable v and transport in variable x at speed vγ, γ∈ N*, with Dirichlet …
combine diffusion in variable v and transport in variable x at speed vγ, γ∈ N*, with Dirichlet …
Boundary controllability for a 1D degenerate parabolic equation with drift and a singular potential
L Galo-Mendoza, M López-García - arxiv preprint arxiv:2302.01197, 2023 - arxiv.org
We prove the null controllability of a one dimensional degenerate parabolic equation with
drift and a singular potential. We study the case the potential arises at the left end point and …
drift and a singular potential. We study the case the potential arises at the left end point and …