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Boundary controllability for a one-dimensional heat equation with a singular inverse-square potential
Erratum on: Controllability of the heat and wave equations and their finite difference approximations by the shape of the domain
Mathematical Neuroscience Laboratory, CIRB-Collège de France and BANG Laboratory, INRIA Paris-Rocquencourt, 11, place Marcelin Berthelot, 75005 Paris, France |
References:
| [1] |
K. Beauchard,
Local controllability of a 1-d schrödinger equation, Journal de Mathématiques Pures et Appliquées, 84 (2005), 851-956.
doi: 10.1016/j.matpur.2005.02.005. |
| [2] |
H. Brezis, Analyse Fonctionnelle: Théorie et Applications, Masson, Paris, France, 1983. |
| [3] |
J. Lohéac, E. Trélat and E. Zuazua, Minimal controllability time for the heat equation under unilateral state or control constraints, 2017. |
| [4] |
I. Moyano,
Controllability of a 2d quantum particle in a time-varying disc with radial data, Journal of Mathematical Analysis and Applications, 455 (2017), 1323-1350.
doi: 10.1016/j.jmaa.2017.05.002. |
| [5] |
Y. Privat, E. Trélat and E. Zuazua,
Optimal observation of the one-dimensional wave equation, Journal of Fourier Analysis and Applications, 19 (2013), 514-544.
doi: 10.1007/s00041-013-9267-4. |
| [6] |
J. Touboul,
Controllability of the heat and wave equations and their finite difference approximations by the shape of the domain, Mathematical Control and Related Fields, 2 (2013), 429-455.
doi: 10.3934/mcrf.2012.2.429. |
| [7] |
E. Trélat, C. Zhang and E. Zuazua, Optimal shape design for 2D heat equations in large time, arXiv preprint, arXiv: 1705.02764, 2017. |
show all references
References:
| [1] |
K. Beauchard,
Local controllability of a 1-d schrödinger equation, Journal de Mathématiques Pures et Appliquées, 84 (2005), 851-956.
doi: 10.1016/j.matpur.2005.02.005. |
| [2] |
H. Brezis, Analyse Fonctionnelle: Théorie et Applications, Masson, Paris, France, 1983. |
| [3] |
J. Lohéac, E. Trélat and E. Zuazua, Minimal controllability time for the heat equation under unilateral state or control constraints, 2017. |
| [4] |
I. Moyano,
Controllability of a 2d quantum particle in a time-varying disc with radial data, Journal of Mathematical Analysis and Applications, 455 (2017), 1323-1350.
doi: 10.1016/j.jmaa.2017.05.002. |
| [5] |
Y. Privat, E. Trélat and E. Zuazua,
Optimal observation of the one-dimensional wave equation, Journal of Fourier Analysis and Applications, 19 (2013), 514-544.
doi: 10.1007/s00041-013-9267-4. |
| [6] |
J. Touboul,
Controllability of the heat and wave equations and their finite difference approximations by the shape of the domain, Mathematical Control and Related Fields, 2 (2013), 429-455.
doi: 10.3934/mcrf.2012.2.429. |
| [7] |
E. Trélat, C. Zhang and E. Zuazua, Optimal shape design for 2D heat equations in large time, arXiv preprint, arXiv: 1705.02764, 2017. |
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