Resolvent conditions for the control of parabolic equations
From MaRDI portal
Publication:694769
DOI10.1016/j.jfa.2012.09.003zbMath1268.47050OpenAlexW1992427478MaRDI QIDQ694769
Publication date: 13 December 2012
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2012.09.003
One-parameter semigroups and linear evolution equations (47D06) Observability (93B07) Operator-theoretic methods (93B28) Control/observation systems in abstract spaces (93C25)
Related Items (20)
OBSERVABILITY OF BAOUENDI–GRUSHIN-TYPE EQUATIONS THROUGH RESOLVENT ESTIMATES ⋮ A spectral inequality for degenerate operators and applications ⋮ Null-controllability of hypoelliptic quadratic differential equations ⋮ Quantitative approximation properties for the fractional heat equation ⋮ Backward uniqueness results for some parabolic equations in an infinite rod ⋮ Observable set, observability, interpolation inequality and spectral inequality for the heat equation in \(\mathbb{R}^n\) ⋮ Non-null-controllability of the Grushin operator in 2D ⋮ Final state observability in Banach spaces with applications to subordination and semigroups induced by Lévy processes ⋮ Resolvent conditions for the control of unitary groups and their approximations ⋮ Analyticity and observability for fractional order parabolic equations in the whole space ⋮ Boundary stabilization of the focusing NLKG equation near unstable equilibria: radial case ⋮ Internal control of the Schrödinger equation ⋮ A block moment method to handle spectral condensation phenomenon in parabolic control problems ⋮ Characterizations of stabilizable sets for some parabolic equations in \(\mathbb{R}^n\) ⋮ Lack of Null-Controllability for the Fractional Heat Equation and Related Equations ⋮ Quantitative Fattorini-Hautus test and minimal null control time for parabolic problems ⋮ Geometric conditions for the exact controllability of fractional free and harmonic Schrödinger equations ⋮ Analysis of the null controllability of degenerate parabolic systems of Grushin type via the moments method ⋮ Spectral estimates for finite combinations of Hermite functions and null-controllability of hypoelliptic quadratic equations ⋮ Observable sets, potentials and Schrödinger equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mini-workshop: Wellposedness and controllability of evolution equations. Abstracts from the mini-workshop held December 12th -- December 18th.
- Resolvent conditions for the control of unitary groups and their approximations
- A direct Lebeau-Robbiano strategy for the observability of heat-like semigroups
- Spectral conditions for admissibility and observability of wave systems: applications to finite element schemes
- On the controllability of anomalous diffusions generated by the fractional Laplacian
- Observability of polynomially stable systems
- On the observability of time-discrete conservative linear systems
- Spectral inequalities for non-selfadjoint elliptic operators and application to the null-controllability of parabolic systems
- Zero-class admissibility of observation operators
- Completeness of sets of complex exponentials
- Null-controllability of a system of linear thermoelasticity
- Null controllability of the heat equation as singular limit of the exact controllability of dissipative wave equation under the Bardos-Lebeau-Rauch geometric control condition.
- Controllability cost of conservative systems: resolvent condition and transmutation
- Admissible observation operators. Semigroup criteria of admissibility
- Interpolation by vector-valued analytic functions, with applications to controllability
- How violent are fast controls. III.
- Necessary conditions for the exact observability of systems on Hilbert spaces
- On controllability of diagonal systems with one-dimensional input space
- A spectral approach for the exact observability of infinite-dimensional systems with skew-adjoint generator
- Observability and Control of Schrödinger Equations
- Spectral conditions for admissibility and observability of Schrödinger systems: Applications to finite element discretizations
- On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations
- Exponential Decay of Energy of Evolution Equations with Locally Distributed Damping
- On the Controllability of a Fractional Order Parabolic Equation
- The Control Transmutation Method and the Cost of Fast Controls
- On the Hautus Test for Exponentially Stable $C_0$-Groups
- One-Parameter Semigroups for Linear Evolution Equations
- A General Necessary Condition for Exact Observability
- Contróle Exact De Léquation De La Chaleur
- Homogenization limits and Wigner transforms
- Hautus condition on the exact controllability of conservative systems
- Locally Distributed Control and Damping for the Conservative Systems
- Geometric control in the presence of a black box
- Counterexamples Concerning Observation Operators for C0 -Semigroups
This page was built for publication: Resolvent conditions for the control of parabolic equations
