A Dependence of the Cost of Fast Controls for the Heat Equation on the Support of Initial Datum
DOI10.1137/21M1401280zbMath1484.93003arXiv2102.12172OpenAlexW3132394898MaRDI QIDQ5037502
Publication date: 1 March 2022
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.12172
Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Observability (93B07) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
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
- 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
- Sharp observability estimates for heat equations
- A complex-analytic approach to the problem of uniform controllability of a transport equation in the vanishing viscosity limit
- How violent are fast controls?
- Null-controllability of a system of linear thermoelasticity
- Quantitative unique continuation for operators with partially analytic coefficients. Application to approximate control for waves
- How violent are fast controls for Schrödinger and plate vibrations?
- On the cost of observability in small times for the one-dimensional heat equation
- New blow-up rates for fast controls of Schrödinger and heat equations
- Observability and Control of Schrödinger Equations
- Waves, damped wave and observation
- The Control Transmutation Method and the Cost of Fast Controls
- Contróle Exact De Léquation De La Chaleur
- Asymptotic behavior of solutions to the Helmholtz equations with sign changing coefficients
- Cloaking an Arbitrary Object via Anomalous Localized Resonance: The Cloak is Independent of the Object
- The cost of approximate controllability for heat equations: The linear case
This page was built for publication: A Dependence of the Cost of Fast Controls for the Heat Equation on the Support of Initial Datum