Carleman estimates and controllability results for fully discrete approximations of 1D parabolic equations
DOI10.1007/S10444-021-09885-4zbMath1501.65030arXiv2012.02156OpenAlexW3199668212WikidataQ114227752 ScholiaQ114227752MaRDI QIDQ2230591
Víctor Hernández-Santamaría, Pedro González-Casanova
Publication date: 24 September 2021
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.02156
Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Observability (93B07) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06) Semilinear parabolic equations (35K58)
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Cites Work
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- Carleman estimates for semi-discrete parabolic operators and application to the controllability of semi-linear semi-discrete parabolic equations
- Numerical exact controllability of the 1D heat equation: duality and Carleman weights
- Uniform controllability properties for space/time-discretized parabolic equations
- Discrete Carleman estimates for elliptic operators and uniform controllability of semi-discretized parabolic equations
- Null and approximate controllability for weakly blowing up semilinear heat equations
- Spectral analysis of discrete elliptic operators and applications in control theory
- Numerical null controllability of semi-linear 1-D heat equations: fixed point, least squares and Newton methods
- Strong convergent approximations of null controls for the 1D heat equation
- Resolution of the implicit Euler scheme for the Navier-Stokes equation through a least-squares method
- Boundary null-controllability of semi-discrete coupled parabolic systems in some multi-dimensional geometries
- On the observability of abstract time-discrete linear parabolic equations
- Insensitizing controls for a semilinear parabolic equation: a numerical approach
- Carleman estimates for semi-discrete parabolic operators with a discontinuous diffusion coefficient and applications to controllability
- Uniform controllability of semidiscrete approximations of parabolic control systems
- Discrete Carleman Estimates for Elliptic Operators in Arbitrary Dimension and Applications
- On the penalised HUM approach and its applications to the numerical approximation of null-controls for parabolic problems
- Numerical approximation of null controls for the heat equation: Ill-posedness and remedies
- Contróle Exact De Léquation De La Chaleur
- SOME REMARKS ON STACKELBERG’S OPTIMIZATION
- Numerical Solution of Partial Differential Equations
- Approximate controllability of the semilinear heat equation
- Uniform bounds on biorthogonal functions for real exponentials with an application to the control theory of parabolic equations
- Insensitizing controls for a semilinear heat equation
- Approximation of null controls for semilinear heat equations using a least-squares approach
- Carleman estimates for time-discrete parabolic equations and applications to controllability
- Numerical Stackelberg--Nash Control for the Heat Equation
- Stackelberg–Nash exact controllability for linear and semilinear parabolic equations
- Global Carleman Inequalities for Parabolic Systems and Applications to Controllability
- Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods
- Exact and Approximate Controllability for Distributed Parameter Systems
- Controllability of the time discrete heat equation
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