Uniform null-controllability for the one-dimensional heat equation with rapidly oscillating periodic density
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Publication:697661
DOI10.1016/S0294-1449(01)00092-0zbMath1009.35009MaRDI QIDQ697661
Antonio M. jun. Lopez, Enrique Zuazua
Publication date: 17 September 2002
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIHPC_2002__19_5_543_0
Controllability (93B05) Initial-boundary value problems for second-order parabolic equations (35K20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
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Cites Work
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- Null-controllability of a system of linear thermoelasticity
- Null controllability of the heat equation as singular limit of the exact controllability of dissipative wave equations
- On moment theory and controllability of one-dimensional vibrating systems and heating processes
- Exact controllability theorems for linear parabolic equations in one space dimension
- Uniform null-controllability for the one-dimensional heat equation with rapidly oscillating coefficients
- Contróle Exact De Léquation De La Chaleur
- Contrôlabilité de l'équation des ondes à densité rapidement oscillante à une dimension d'espace
- Null controllability of the semilinear heat equation
- The wave equation with oscillating density: observability at low frequency
- Low Frequency Asymptotic Analysis of a String with Rapidly Oscillating Density
- 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
- A Unified Boundary Controllability Theory for Hyperbolic and Parabolic Partial Differential Equations
- Boundary Control Systems
