Observability and null-controllability for parabolic equations in \(L_p\)-spaces
DOI10.3934/mcrf.2022046arXiv2005.14503OpenAlexW4307789085MaRDI QIDQ6074823
Christian Seifert, Dennis Gallaun, Martin Tautenhahn, Unnamed Author
Publication date: 19 September 2023
Published in: Mathematical Control and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.14503
Banach space\(C_0\)-semigroupselliptic operatorsnull-controllabilityobservability estimate\(L_p\)-spacesnon-reflexive
Controllability (93B05) One-parameter semigroups and linear evolution equations (47D06) Observability (93B07) Applications of operator theory in systems, signals, circuits, and control theory (47N70) PDEs in connection with control and optimization (35Q93)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On constraint controllability of linear systems in Banach spaces
- A direct Lebeau-Robbiano strategy for the observability of heat-like semigroups
- Sharp observability estimates for heat equations
- Exhaustion approximation for the control problem of the heat or Schrödinger semigroup on unbounded domains
- Some results on controllability for linear and nonlinear heat equations in unbounded domains
- Uniform convergence of operators on \(L^{\infty}\) and similar spaces
- Infinite dimensional linear systems theory
- Null-controllability of a system of linear thermoelasticity
- Null controllability in unbounded domains for the semilinear heat equation with nonlinearities involving gradient terms
- Sharp geometric condition for null-controllability of the heat equation on \(\mathbb R^d\) and consistent estimates on the control cost
- Elliptic operators on Lie groups
- Geometric bounds on the growth rate of null-controllability cost for the heat equation in small time
- Averaged dynamics and control for heat equations with random diffusion
- An elementary proof of the lack of null controllability for the heat equation on the half line
- Null controllability of the heat equation using flatness
- On the null-controllability of the heat equation in unbounded domains
- Observable set, observability, interpolation inequality and spectral inequality for the heat equation in \(\mathbb{R}^n\)
- Majorization, range inclusion, and factorization for unbounded operators on Banach spaces
- On null controllability of linear systems in Banach spaces
- Exact controllability theorems for linear parabolic equations in one space dimension
- On the lack of null-controllability of the heat equation on the half-line
- Some results related to the Logvinenko-Sereda theorem
- Convex Optimization in Normed Spaces
- On the null-controllability of diffusion equations
- A General Theory of Observation and Control
- Contróle Exact De Léquation De La Chaleur
- Null controllability of the semilinear heat equation
- Controls insensitizing the norm of the solution of a semilinear heat equation in unbounded domains
- Null-controllability of hypoelliptic quadratic differential equations
- Approximate controllability of the semilinear heat equation
- Sharp estimates and homogenization of the control cost of the heat equation on large domains
- Sufficient Criteria and Sharp Geometric Conditions for Observability in Banach Spaces
- Optimal distributed control of linear parabolic equations by spectral decomposition
- Classical Fourier Analysis
- Observability Inequalities from Measurable Sets for Some Abstract Evolution Equations
- Null controllability of the heat equation in unbounded domains by a finite measure control region
- On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
- Factorization of Operators on Banach Space
- On the lack of null-controllability of the heat equation on the half space
- The cost of approximate controllability for heat equations: The linear case
This page was built for publication: Observability and null-controllability for parabolic equations in \(L_p\)-spaces