Null Controllability of the Parabolic Spherical Grushin Equation
DOI10.1051/cocv/2022055OpenAlexW4293196603WikidataQ113854843 ScholiaQ113854843MaRDI QIDQ5056668
Publication date: 8 December 2022
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.11447
spherical harmonicssingularCarleman estimatesnull controllabilityunitary transformationdegenerate parabolic equationsGrushin operatoralmost-Riemannian geometryHardy-Poincaré type inequalities
Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Observability (93B07) Sub-Riemannian geometry (53C17)
Cites Work
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- Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function
- 2\textsc{d} Grushin-type equations: minimal time and null controllable data
- A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds
- Analysis of the Laplacian on a complete Riemannian manifold
- Sub-Riemannian geometry
- Non-null-controllability of the Grushin operator in 2D
- Spectral asymptotics for sub-Riemannian Laplacians. I: Quantum ergodicity and quantum limits in the 3-dimensional contact case
- Minimal time issues for the observability of Grushin-type equations
- From refined estimates for spherical harmonics to a sharp multiplier theorem on the Grushin sphere
- Null controllability of Grushin-type operators in dimension two
- The Laplace-Beltrami operator in almost-Riemannian geometry
- Carleman estimates for one-dimensional degenerate heat equations
- Hypoelliptic second order differential equations
- Spectral analysis and the Aharonov-Bohm effect on certain almost-Riemannian manifolds
- Controllability of the Heat Equation with an Inverse-Square Potential Localized on the Boundary
- Control and Stabilization Properties for a Singular Heat Equation with an Inverse-Square Potential
- Contróle Exact De Léquation De La Chaleur
- Controllability of parabolic equations
- Null controllability in large time for the parabolic Grushin operator with singular potential
- Sur une classe d'opérateurs elliptiques dégénérés
- ON A CLASS OF HYPOELLIPTIC OPERATORS
- A NOTE ON THE SELF-ADJOINT DOMAINS OF SECOND-ORDER DIFFERENTIAL EQUATIONS
- Approximate controllability for a 2D Grushin equation with potential having an internal singularity
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