Minimal time for the null controllability of parabolic systems: the effect of the condensation index of complex sequences, J. Funct. Anal, vol.267, issue.7, pp.2077-2151, 2014. ,
On support properties of L p -functions and their Fourier transforms, J. Functional Analysis, vol.24, issue.3, pp.258-267, 1977. ,
On the extension of functions, Uspehi Matem. Nauk (N.S.), vol.8, issue.2, pp.111-113, 1953. ,
Local controllability of a 1-D Schrödinger equation, J. Math. Pures Appl, vol.84, issue.9, pp.851-956, 2005. ,
Controllability of a quantum particle in a 1D variable domain, ESAIM Control Optim. Calc. Var, vol.14, issue.1, pp.105-147, 2008. ,
Controllability of a quantum particle in a moving potential well, J. Funct. Anal, vol.232, issue.2, pp.328-389, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00825517
Quadratic obstructions to small-time local controllability for scalar-input systems, Journal of Differential Equations, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01526290
Local controllability of 1D Schrödinger equations with bilinear control and minimal time, Math. Control Relat. Fields, vol.4, issue.2, pp.125-160, 2014. ,
Sharp estimates of the one-dimensional boundary control cost for parabolic systems and application to the N -dimensional boundary null controllability in cylindrical domains, SIAM J. Control Optim, vol.52, issue.5, pp.2970-3001, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00845994
On Fourier transforms of functions supported on sets of finite Lebesgue measure, J. Math. Anal. Appl, vol.106, issue.1, pp.180-183, 1985. ,
Interpolation spaces. An introduction, Grundlehren der Mathematischen Wissenschaften, issue.223, 1976. ,
A survey on uncertainty principles related to quadratic forms, Collect. Math, pp.1-36, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00087638
Exact controllability of a nonlinear Korteweg-de Vries equation on a critical spatial domain, SIAM J. Control Optim, vol.46, issue.3, pp.877-899, 2007. ,
Boundary controllability for the nonlinear Korteweg-de Vries equation on any critical domain, Ann. Inst. H. Poincaré Anal. Non Linéaire, vol.26, issue.2, pp.457-475, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00678473
On the controllability of 2-D incompressible perfect fluids, J. Math. Pures Appl, vol.75, issue.9, pp.155-188, 1996. ,
Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations, ESAIM Control Optim. Calc. Var, vol.8, pp.513-554, 2002. ,
On the small-time local controllability of a quantum particle in a moving one-dimensional infinite square potential well, C. R. Math. Acad. Sci, vol.342, issue.2, pp.103-108, 2006. ,
Exact boundary controllability of a nonlinear KdV equation with critical lengths, J. Eur. Math. Soc. (JEMS), vol.6, issue.3, pp.367-398, 2004. ,
URL : https://hal.archives-ouvertes.fr/inria-00077038
Analysis of the HUM control operator and exact controllability for semilinear waves in uniform time, SIAM J. Control Optim, vol.48, issue.2, pp.521-550, 2009. ,
A systematic method for building smooth controls for smooth data, Discrete Contin. Dyn. Syst. Ser. B, vol.14, issue.4, pp.1375-1401, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00629596
Exact controllability theorems for linear parabolic equations in one space dimension, Arch. Rational Mech. Anal, vol.43, pp.272-292, 1971. ,
Uniform bounds on biorthogonal functions for real exponentials with an application to the control theory of parabolic equations, Quart. Appl. Math, vol.32, p.75, 1974. ,
Null and approximate controllability for weakly blowing up semilinear heat equations, Ann. Inst. H. Poincaré Anal. Non Linéaire, vol.17, issue.5, pp.583-616, 2000. ,
The uncertainty principle: a mathematical survey, J. Fourier Anal. Appl, vol.3, issue.3, pp.207-238, 1997. ,
The Kato-Ponce inequality, Comm. Partial Differential Equations, vol.39, issue.6, pp.1128-1157, 2014. ,
The uncertainty principle in harmonic analysis, Ergebnisse der Mathematik und ihrer Grenzgebiete, vol.28, issue.3 ,
, , 1994.
Nazarov's uncertainty principles in higher dimension, J. Approx. Theory, vol.149, issue.1, pp.30-41, 2007. ,
Experimental study of the HUM control operator for linear waves, Experiment. Math, vol.19, issue.1, pp.93-120, 2010. ,
URL : https://hal.archives-ouvertes.fr/inria-00418712
The cost of the control in the case of a minimal time of control: the example of the one-dimensional heat equation, J. Math. Anal. Appl, vol.451, issue.1, pp.497-507, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01329873
Single input controllability of a simplified fluid-structure interaction model, ESAIM Control Optim. Calc. Var, vol.19, issue.1, pp.20-42, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00922193
An obstruction to small time local null controllability for a viscous Burgers' equation, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01229493
Obstructions quadratiquesàquadratiquesà la contrôlabilité, de la dimension finiè a la dimension infinie, Séminaire Laurent Schwartz-´ Equations aux dérivées partielles et applications. Année, 2016. ,
Simultaneous local exact controllability of 1D bilinear Schrödinger equations, Ann. Inst. H. Poincaré Anal. Non Linéaire, vol.31, issue.3, pp.501-529, 2014. ,
On the constants for some fractional gagliardo-nirenberg and sobolev inequalities, Expositiones Mathematicae, 2017. ,
Local estimates for exponential polynomials and their applications to inequalities of the uncertainty principle type, Algebra i Analiz, vol.5, issue.4, pp.3-66, 1993. ,
On elliptic partial differential equations, Ann. Scuola Norm. Sup. Pisa, vol.13, issue.3, pp.115-162, 1959. ,
Semigroups of linear operators and applications to partial differential equations, Applied Mathematical Sciences, vol.44, 1983. ,
Real and complex analysis, 1987. ,
How violent are fast controls?, Math. Control Signals Systems, vol.1, issue.1, pp.89-95, 1988. ,
How violent are fast controls?, II. Math. Control Signals Systems, vol.9, issue.4, pp.327-340, 1996. ,
Boundedness results for operators with singular kernels on distribution spaces, Mem. Amer. Math. Soc, vol.90, issue.442, p.172, 1991. ,
Regularity properties of singular integral operators, Studia Math, vol.119, issue.3, pp.199-217, 1996. ,