Properties of solutions of ordinary differential equations in banach space, Communications on Pure and Applied Mathematics, vol.34, issue.2, pp.121-239, 1963. ,
DOI : 10.4153/CJM-1949-023-x
Observability inequalities and measurable sets, J. Eur. Math. Soc.JEMS), vol.16, issue.11, pp.2433-2475, 2014. ,
Observation estimate for kinetic transport equations by diffusion approximation, C. R. Math. Acad. Sci. Paris, vol.355, issue.6, pp.640-664, 2017. ,
Sur l'unicité retrograde deséquationsdeséquations paraboliques et quelques questions voisines, Arch. Rational Mech. Anal, pp.50-60, 1973. ,
Null controllability of a thermoelastic plate, Abstr. Appl. Anal, vol.7, issue.11, pp.585-599, 2002. ,
Spectral inequality and optimal cost of controllability for the Stokes system, ESAIM: Control, Optimisation and Calculus of Variations, vol.22, issue.4, pp.1137-1162, 2016. ,
DOI : 10.1016/j.jmaa.2007.07.008
Doubling properties of caloric functions, Applicable Analysis, vol.54, issue.1-3, pp.205-223, 2006. ,
DOI : 10.1007/BF02387373
Convexity properties of solutions to the free Schr??dinger equation with Gaussian decay, Mathematical Research Letters, vol.15, issue.5, pp.957-971, 2008. ,
DOI : 10.4310/MRL.2008.v15.n5.a10
Hardy's uncertainty principle, convexity and Schrödinger evolutions, J. Eur. Math. Soc. (JEMS), vol.10, issue.4, pp.883-907, 2008. ,
DOI : 10.4171/jems/134
URL : http://arxiv.org/pdf/0802.1608v1.pdf
Hardy Uncertainty Principle, Convexity and Parabolic Evolutions, Communications in Mathematical Physics, vol.105, issue.2, pp.667-678, 2016. ,
DOI : 10.1007/BF02880360
URL : http://arxiv.org/pdf/1506.05670
Observation from measurable sets for parabolic analytic evolutions and applications, Journal de Math??matiques Pures et Appliqu??es, vol.104, issue.5, pp.837-867, 2015. ,
DOI : 10.1016/j.matpur.2015.05.005
Imanuvilov, Controllability of evolution equations. Lecture Notes Series, 34, 1996. ,
The Lebeau???Robbiano inequality for the one-dimensional fourth order elliptic operator and its application, ESAIM: Control, Optimisation and Calculus of Variations, vol.26, issue.3, pp.811-831, 2016. ,
DOI : 10.1007/s10114-010-9051-1
Integral maximum principle and its applications, Proc. Roy. Soc. Edinburgh Sect. A, vol.124, issue.2, pp.353-362, 1994. ,
Inverse Problems for Partial Differential Equations, 2006. ,
Nodal sets of sums of eigenfunctions. Harmonic analysis and partial differential equations, Chicago Lectures in Math, pp.223-239, 1996. ,
Controllability of a parabolic system with a diffuse interface, Journal of the European Mathematical Society, vol.15, issue.4, pp.1485-1574, 2013. ,
DOI : 10.4171/JEMS/397
On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations, ESAIM: Control, Optimisation and Calculus of Variations, vol.18, issue.3, pp.712-747, 2012. ,
DOI : 10.1051/cocv/2011168
URL : https://hal.archives-ouvertes.fr/hal-00351736
Null-controllability of the Kolmogorov equation in the whole phase space, Journal of Differential Equations, vol.260, issue.4, pp.3193-3233, 2016. ,
DOI : 10.1016/j.jde.2015.09.062
URL : https://hal.archives-ouvertes.fr/hal-01134917
Carleman estimate for elliptic operators with coefficients with jumps at an interface in arbitrary dimension and application to the null controllability of linear parabolic equations, Arch. Ration. Mech. Anal, vol.195, issue.3, pp.953-990, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00193885
Local and global Carleman estimates for parabolic operators with coefficients with jumps at interfaces, Invent. Math, vol.183, issue.2, pp.245-336, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00397223
Spectral inequality and resolvent estimate for the bi-Laplace operator ,
URL : https://hal.archives-ouvertes.fr/hal-01194748
Spectral inequalities for non-selfadjoint elliptic operators and application to the null-controllability of parabolic systems, J. Funct. Anal, vol.258, pp.2739-2778, 2010. ,
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
Null-Controllability of a System of Linear Thermoelasticity, Archive for Rational Mechanics and Analysis, vol.141, issue.4, pp.297-329, 1998. ,
DOI : 10.1007/s002050050078
Optimal Control Theory for Infinite-Dimensional Systems, Systems & Control: Foundations & Applications, 1995. ,
A lower bound on local energy of partial sum of eigenfunctions for Laplace-Beltrami operators, ESAIM: Control, Optimisation and Calculus of Variations, vol.3, issue.1, pp.255-273, 2013. ,
DOI : 10.1016/S1874-5717(07)80010-7
A direct Lebeau-Robbiano strategy for the observability of heat-like semigroups, Discrete and Continuous Dynamical Systems - Series B, vol.14, issue.4, pp.1465-1485, 2010. ,
DOI : 10.3934/dcdsb.2010.14.1465
URL : https://hal.archives-ouvertes.fr/hal-00411846
Improperly Posed Problems in Partial Differential Equations, Regional Conference Series in Applied Mathematics, vol.22, 1975. ,
Note on the cost of the approximate controllability for the heat equation with potential, J. Math. Anal. Appl, vol.295, issue.2, pp.527-538, 2004. ,
Quantitative unique continuation for the semilinear heat equation in a convex domain, Journal of Functional Analysis, vol.259, issue.5, pp.1230-1247, 2010. ,
DOI : 10.1016/j.jfa.2010.04.015
An observability estimate for parabolic equations from a measurable set in time and its applications, Journal of the European Mathematical Society, vol.15, issue.2, pp.681-703, 2013. ,
DOI : 10.4171/JEMS/371
URL : https://hal.archives-ouvertes.fr/hal-00625082
Impulse output rapid stabilization for heat equations, J. Differential Equations, vol.263, issue.8, pp.5012-5041, 2017. ,
Bang-bang property for time optimal control of semilinear heat equation, Ann. Inst. H. Poincaré Anal. Non Linéaire, issue.3, pp.31-477, 2014. ,
Unique continuation for parabolic equations, Comm. Partial Differential Equations, vol.21, pp.521-539, 1996. ,
The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential, J. Funct. Anal, vol.173, issue.1, pp.103-153, 2000. ,
Unique continuation properties and quantitative estimates of unique continuation for parabolic equations. Handbook of differential equations: evolutionary equations, Handb. Differ. Equ, vol.5, pp.421-500, 2009. ,
The local backward heat problem. arXiv:1704 Unique continuation estimates for the Kolmogorov equation in the whole space, C. R. Math. Acad. Sci. Paris, vol.354, issue.4, pp.5314-389, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01508987