, Semiclassical completely integrable systems: long-time dynamics and observability via two-microlocal Wigner measures, American Journal of Mathematics, vol.137, issue.3, pp.577-638, 2015.
DOI : 10.1353/ajm.2015.0020
URL : https://hal.archives-ouvertes.fr/hal-00964092
, Wigner measures and observability for the Schr??dinger equation on the disk, Inventiones mathematicae, vol.40, issue.5???6, pp.485-599, 2016.
DOI : 10.1103/PhysRev.40.749
, Semiclassical measures for the Schr??dinger equation on the torus, Journal of the European Mathematical Society, vol.16, issue.6, pp.1253-1288, 2014.
DOI : 10.4171/JEMS/460
, Sharp polynomial decay rates for the damped wave equation on the torus, Analysis & PDE, vol.29, issue.1, pp.159-214, 2014.
DOI : 10.1007/978-3-7643-8994-9
, Dispersion and controllability for the Schr??dinger equation on negatively curved manifolds, Analysis & PDE, vol.79, issue.188, pp.313-338, 2012.
DOI : 10.1007/BF02099790
URL : http://msp.org/apde/2012/5-2/apde-v5-n2-p03-s.pdf
, Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary, SIAM Journal on Control and Optimization, vol.30, issue.5, pp.1024-1065, 1992.
DOI : 10.1137/0330055
, Non-uniform stability for bounded semi-groups on Banach spaces, Journal of Evolution Equations, vol.8, issue.4, pp.765-780, 2008.
DOI : 10.1007/s00028-008-0424-1
, Stability estimate for an inverse problem for the magnetic Schr??dinger equation from the Dirichlet-to-Neumann map, Journal of Functional Analysis, vol.258, issue.1, pp.161-195, 2010.
DOI : 10.1016/j.jfa.2009.06.010
, Control For Schr??dinger operators on tori, Mathematical Research Letters, vol.19, issue.2, pp.309-324, 2012.
DOI : 10.4310/MRL.2012.v19.n2.a4
, Geometric control in the presence of a black box, Journal of the American Mathematical Society, vol.17, issue.02, pp.443-471, 2004.
DOI : 10.1090/S0894-0347-04-00452-7
, D??croissance de l'??nergie locale de l'??quation des ondes pour le probl??me ext??rieur et absence de r??sonance au voisinage du r??el, Acta Mathematica, vol.180, issue.1, pp.1-29, 1998.
DOI : 10.1007/BF02392877
URL : http://doi.org/10.1007/bf02392877
, Stability estimates for an inverse elliptic problem, J. Inverse Ill-Posed Probl, pp.601-610, 2002.
DOI : 10.1515/jiip.2002.10.6.601
, Stabilization and Control for the Nonlinear Schr??dinger Equation on a Compact Surface, Mathematische Zeitschrift, vol.69, issue.1, pp.729-749, 2006.
DOI : 10.5802/aif.652
, Imanuvilov, Controllability of evolution equations, Lecture notes, 1996.
, Contrôlabilité exacte des solutions de l'équation des ondes en présence de singularités, J. Math. Pures et Appl, vol.68, pp.215-259, 1989.
, Linear partial differential operators, 1963.
, Vortices a monopoles, structure of static gauge theories, 1980.
, A direct method for the boundary stabilization of the wave equation, J. Math. Pures et Appl, pp.69-102, 1990.
, Internal control of the Schr??dinger equation, Mathematical Control and Related Fields, vol.4, issue.2, pp.161-186, 2014.
DOI : 10.3934/mcrf.2014.4.161
, Contrôle de l'équation de Schrödinger, J. Math. Pures Appl, vol.71, pp.267-291, 1992.
, Contr??le Exact De L??quation De La Chaleur, Communications in Partial Differential Equations, vol.52, issue.1-2, pp.335-356, 1995.
DOI : 10.1016/0022-0396(87)90043-X
, Stabilisation de l'équation des ondes par le bord, Duke Math, J, vol.86, pp.465-491, 1997.
DOI : 10.1215/s0012-7094-97-08614-2
, Exact Controllability for the Schr??dinger Equation, SIAM Journal on Control and Optimization, vol.32, issue.1, pp.24-34, 1994.
DOI : 10.1137/S0363012991223145
, Stabilization of the Schrödinger equation, Portugal. Math, vol.51, pp.244-256, 1994.
, Semiclassical measures and the Schr??dinger flow on Riemannian manifolds, Nonlinearity, vol.22, issue.5, pp.1003-1020, 2009.
DOI : 10.1088/0951-7715/22/5/005
, Concentration and Non-Concentration for the Schr??dinger Evolution on Zoll Manifolds, Communications in Mathematical Physics, vol.143, issue.3, pp.1019-1054, 2016.
DOI : 10.1090/conm/640/12844
, Observability and Quantum Limits for the Schrödinger equation on S d, 2016.
, High-frequency propagation for the Schr??dinger equation on the torus, Journal of Functional Analysis, vol.258, issue.3, pp.933-955, 2010.
DOI : 10.1016/j.jfa.2009.09.020
, Inverse problems for the Schr??dinger equation via Carleman inequalities with degenerate weights, Inverse Problems, vol.24, issue.1, p.15017, 2008.
DOI : 10.1088/0266-5611/24/1/015017
, Controllability cost of conservative systems: resolvent condition and transmutation, Journal of Functional Analysis, vol.218, issue.2, pp.425-444, 2005.
DOI : 10.1016/j.jfa.2004.02.001
URL : https://hal.archives-ouvertes.fr/hal-00002098
, Non-structural controllability of linear elastic systems with structural damping, Journal of Functional Analysis, vol.236, issue.2, pp.592-608, 2006.
DOI : 10.1016/j.jfa.2006.03.001
URL : https://hal.archives-ouvertes.fr/hal-00015894
, Observability and Control of Schr??dinger Equations, SIAM Journal on Control and Optimization, vol.40, issue.1, pp.211-230, 2001.
DOI : 10.1137/S0363012900368405
, A spectral approach for the exact observability of infinite-dimensional systems with skew-adjoint generator, Journal of Functional Analysis, vol.226, issue.1, pp.193-229, 2005.
DOI : 10.1016/j.jfa.2005.02.009
URL : https://hal.archives-ouvertes.fr/hal-00091371
, Fonction de coût et contrôle des solutions des équations hyperboliques, Asymptotic Anal, pp.95-115, 1995.
, Observation and control for operator semigroups. Birkhäuser Advanced Texts, 2009.
DOI : 10.1007/978-3-7643-8994-9
URL : https://hal.archives-ouvertes.fr/hal-00590673
, France E-mail address: kais.ammari@fsm.rnu.tn Mourad Choulli E-mail address: mourad.choulli@univ-lorraine, p.78035