An application of a conjecture due to Ervedoza and Zuazua concerning the observability of the heat equation in small time to a conjecture due to Coron and Guerrero concerning the uniform controllability of a convection-diffusion equation in the vanishing
From MaRDI portal
Publication:2454187
DOI10.1016/j.sysconle.2014.04.011zbMath1288.93028arXiv1310.4355OpenAlexW1974872505WikidataQ123283840 ScholiaQ123283840MaRDI QIDQ2454187
Publication date: 13 June 2014
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.4355
Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Observability (93B07)
Related Items
On uniform observability of gradient flows in the vanishing viscosity limit ⋮ Cost of null controllability for parabolic equations with vanishing diffusivity and a transport term ⋮ On uniform controllability of 1D transport equations in the vanishing viscosity limit ⋮ Explicit lower bounds for the cost of fast controls for some 1-D parabolic or dispersive equations, and a new lower bound concerning the uniform controllability of the 1-D transport-diffusion equation ⋮ On the Reachable Set for the One-Dimensional Heat Equation ⋮ Construction of Gevrey functions with compact support using the Bray-Mandelbrojt iterative process and applications to the moment method in control theory ⋮ Singular optimal control of a 1-D parabolic-hyperbolic degenerate equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A link between the cost of fast controls for the 1-D heat equation and the uniform controllability of a 1-D transport-diffusion equation
- A direct Lebeau-Robbiano strategy for the observability of heat-like semigroups
- Observability of heat processes by transmutation without geometric restrictions
- Sharp observability estimates for heat equations
- Spectral inequalities for non-selfadjoint elliptic operators and application to the null-controllability of parabolic systems
- A complex-analytic approach to the problem of uniform controllability of a transport equation in the vanishing viscosity limit
- Two results on exact boundary control of parabolic equations
- A lower bound of the norm of the control operator for the heat equation
- Viscous vortex patches
- Geometric bounds on the growth rate of null-controllability cost for the heat equation in small time
- How violent are fast controls for Schrödinger and plate vibrations?
- On exponential observability estimates for the heat semigroup with explicit rates
- New blow-up rates for fast controls of Schrödinger and heat equations
- How violent are fast controls. III.
- Exact controllability theorems for linear parabolic equations in one space dimension
- The Control Transmutation Method and the Cost of Fast Controls
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- A General Theory of Observation and Control
- Contróle Exact De Léquation De La Chaleur
- Singular Optimal Control for a Transport-Diffusion Equation
- Diffusion processes in a small time interval
This page was built for publication: An application of a conjecture due to Ervedoza and Zuazua concerning the observability of the heat equation in small time to a conjecture due to Coron and Guerrero concerning the uniform controllability of a convection-diffusion equation in the vanishing