Approximate Null-Controllability with Uniform Cost for the Hypoelliptic Ornstein–Uhlenbeck Equations
DOI10.1137/22M1487412zbMath1520.93041arXiv2201.01516MaRDI QIDQ6107857
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Publication date: 28 June 2023
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.01516
hypoellipticityunique continuation propertyOrnstein-Uhlenbeck equationsapproximate null-controllabilityintegral thickness condition
Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) One-parameter semigroups and linear evolution equations (47D06) Hypoelliptic equations (35H10) Harmonic analysis and PDEs (42B37)
Cites Work
- Unnamed Item
- Unnamed Item
- Heat equation on the Heisenberg group: observability and applications
- A direct Lebeau-Robbiano strategy for the observability of heat-like semigroups
- Sharp geometric condition for null-controllability of the heat equation on \(\mathbb R^d\) and consistent estimates on the control cost
- Geometric conditions for the exact controllability of fractional free and harmonic Schrödinger equations
- Critical time for the observability of Kolmogorov-type equations
- Observable sets, potentials and Schrödinger equations
- Description of the smoothing effects of semigroups generated by fractional Ornstein-Uhlenbeck operators and subelliptic estimates
- Uncertainty principles in Gelfand-Shilov spaces and null-controllability
- Minimal time issues for the observability of Grushin-type equations
- Geometric conditions for the null-controllability of hypoelliptic quadratic parabolic equations with moving control supports
- Smoothing properties of fractional Ornstein-Uhlenbeck semigroups and null-controllability
- Characterizations of stabilizable sets for some parabolic equations in \(\mathbb{R}^n\)
- Characterization by observability inequalities of controllability and stabilization properties
- Null-controllability of non-autonomous Ornstein-Uhlenbeck equations
- Observable set, observability, interpolation inequality and spectral inequality for the heat equation in \(\mathbb{R}^n\)
- Hypoelliptic second order differential equations
- Contróle Exact De Léquation De La Chaleur
- Lower bounds for quasianalytic functions, I. How to control smooth functions
- Spectral estimates for finite combinations of Hermite functions and null-controllability of hypoelliptic quadratic equations
- Tunneling estimates and approximate controllability for hypoelliptic equations
- Stabilization and approximate null-controllability for a large class of diffusive equations from thick control supports
- Characterizations of Complete Stabilizability
- Quantitative Uniqueness Properties forL2 Functions with Fast Decaying, or Sparsely Supported, Fourier Transform
- Sharp estimates and homogenization of the control cost of the heat equation on large domains
- Lack of Null-Controllability for the Fractional Heat Equation and Related Equations
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