EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues Volume 27 (2021) Supplement ESAIM: COCV, 27 (2021) S29 References
Open Access
Issue
ESAIM: COCV
Volume 27, 2021
Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte
Article Number S29
Number of page(s) 43
DOI https://doi.org/10.1051/cocv/2020085
Published online 01 March 2021
  1. F. Ammar Khodja, A. Benabdallah, M. Gonzàlez-Burgos and L. Teresa, The Kalman condition for the boundary controllability of coupled parabolic systems. Bounds on biorthogonal families to complex matrix exponentials. J. Math. Pures Appl. 96 (2011) 505–590. [Google Scholar]
  2. F. Ammar Khodja, A. Benabdallah, M. Gonzàlez-Burgos and L. Teresa, Minimal time for the null controllability of parabolic systems: the effect of the condensation index of complex sequences. J. Funct. Anal. 267 (2014) 2077–2151. [Google Scholar]
  3. F. Ammar Khodja, A. Benabdallah, M. Gonzàlez-Burgos and L. Teresa, New phenomena for the null controllability of parabolic systems: Minimal time and geometrical dependence. J. Math. Anal. Appl. 444 (2016) 1071–1113. [Google Scholar]
  4. F. Ammar Khodja, A. Benabdallah, M. Gonzàlez-Burgos and M. Morancey, Quantitative Fattorini-Hautus test and minimal null control time for parabolic problems. J. Math. Pures Appl. 122 (2019) 198–234. [Google Scholar]
  5. A. Benabdallah, F. Boyer and M. Morancey, A block moments method to handle spectral condensation phenomenon in parabolic control problems. Preprint (2018). Available at https://hal.archives-ouvertes.fr/hal-01949391. [Google Scholar]
  6. V. Bernstein, Lecons sur les Progrès Récents de la Théorie des Séries de Dirichlet. Gauthier-Villars (1933). [Google Scholar]
  7. O. Christensen, An Introduction to Frames and Riesz Bases, Applied and Numerical Harmonic Analysis. Birkhauser Basel (2003). [Google Scholar]
  8. S. Dolecki, Observability for the one-dimensional heat equation. Studia Math. 48 (1973) 291–305. [Google Scholar]
  9. M. Duprez, Controllability of a 2 × 2 parabolicsystem by one force with space-dependent coupling term of order one. ESAIM: COCV 23 (2017) 1473–1498. [CrossRef] [EDP Sciences] [Google Scholar]
  10. H.O. Fattorini, Some remarks on complete controllability. SIAM J. Control 4 (1966) 686–694. [CrossRef] [MathSciNet] [Google Scholar]
  11. H.O. Fattorini and D.L. Russell, Exact controllability theorems for linear parabolic equations in one space dimension. Arch. Rational Mech. Anal. 43 (1971) 272–292. [MathSciNet] [Google Scholar]
  12. H.O. Fattorini and D.L. Russell, Uniform bounds on biorthogonal functions for real exponentials with an application to the control theory of parabolic equations. Quart. Appl. Math. 32 (1974/75) 45–69. [Google Scholar]
  13. E. Fernàndez-Cara, M. Gonzàlez-Burgos and L. de Teresa, Boundary controllability of parabolic coupled equations. J. Funct. Anal. 259 (2010) 1720–1758. [Google Scholar]
  14. A.V. Fursikov and O.Y. Imanuvilov. Controllability of evolution equations. Vol. 34 of Lecture Notes Series. Seoul National University Research. Institute of Mathematics Global Analysis Research Center, Seoul (1996). [Google Scholar]
  15. J.-L. Lions, Contrôle optimal de systèmes gouvernés par des équations aux dérivées partielles. Avant propos de P. Lelong. Paris: Dunod (1968). [Google Scholar]
  16. G. Lebeau and L. Robbiano. Contrôle exact de l'équation de la chaleur. Commun. Partial Differ. Equ. 20 (1995) 335–356. [Google Scholar]
  17. G. Olive, Boundary approximate controllability of some linear parabolic systems. Evol. Equ. Control Theory 3 (2014) 167–189. [CrossRef] [MathSciNet] [Google Scholar]
  18. L. Schwartz, Etude des Sommes d’Exponentielles, 2ème éd., Publications de l’Institut de Mathématiques de l’Université de Strasbourg, V. Actualités Sci. Ind., Hermann, Paris (1959). [Google Scholar]
  19. J.R. Shackell, Overconvergence of Dirichlet series with complex exponents. J. Anal. Math. 22 (1969) 135–170. [Google Scholar]
  20. M. Tucsnak and G. Weiss, Observation and Control for Operator Semigroups. Birkhauser Advanced Texts: Basler Lehrbucher, Birkhauser Verlag, Basel (2009). [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.