Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, I. Comm. Pure Appl. Math, vol.12, pp.623-727, 1959. ,
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II, Communications on Pure and Applied Mathematics, vol.18, issue.1, pp.35-92, 1964. ,
DOI : 10.5802/aif.111
Observability inequalities and measurable sets, Journal of the European Mathematical Society, vol.16, issue.11, pp.2433-2475, 2014. ,
DOI : 10.4171/JEMS/490
URL : http://arxiv.org/pdf/1202.4876.pdf
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
Global Carleman estimate on a network for the wave equation and application to an inverse problem, Mathematical Control and Related Fields, vol.1, issue.3, pp.307-330, 2011. ,
DOI : 10.3934/mcrf.2011.1.307
URL : https://hal.archives-ouvertes.fr/hal-00576296
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
About stability and regularization of ill-posed elliptic Cauchy problems: the case of Lipschitz domains, Applicable Analysis, vol.18, issue.11, pp.1745-1768, 2010. ,
DOI : 10.1002/nme.1620080408
URL : https://hal.archives-ouvertes.fr/hal-00849579
Carleman estimates for stratified media, Journal of Functional Analysis, vol.260, issue.12, pp.3645-3677, 2011. ,
DOI : 10.1016/j.jfa.2011.02.007
URL : https://hal.archives-ouvertes.fr/hal-00529924
Carleman Estimates for Some Non-Smooth Anisotropic Media, Communications in Partial Differential Equations, vol.11, issue.10, pp.1763-1790, 2013. ,
DOI : 10.1080/00036810802140665
URL : https://hal.archives-ouvertes.fr/hal-00715108
Distribution of resonances and decay rate of the local energy for the elastic wave equation, Communications in Mathematical Physics, vol.215, issue.2, pp.375-408, 2000. ,
Carleman estimates and distribution of resonances for the transparent obstacle and application to the stabilization, Asymptot. Anal, vol.35, pp.3-4257, 2003. ,
Null controllability of three-dimensional heat equation in singular domains, Acta Appl. Math, vol.134, pp.87-109, 2014. ,
The heat equation with a singular potential, Transactions of the American Mathematical Society, vol.284, issue.1, pp.121-139, 1984. ,
DOI : 10.1090/S0002-9947-1984-0742415-3
Condition nécessaire et suffisante pour la contrôlabilité exacte des ondes, C. R. Acad. Sci. Paris Sér. I Math, vol.325, issue.7, pp.749-752, 1997. ,
Energy decay for damped wave equations on partially rectangular domains, Mathematical Research Letters, vol.14, issue.1, pp.35-47, 2007. ,
DOI : 10.4310/MRL.2007.v14.n1.a3
URL : https://hal.archives-ouvertes.fr/hal-00081149
Carleman estimates for elliptic operators with complex coefficients. Part I: Boundary value problems, Journal de Math??matiques Pures et Appliqu??es, vol.104, issue.4, pp.657-728, 2015. ,
DOI : 10.1016/j.matpur.2015.03.011
URL : https://hal.archives-ouvertes.fr/hal-01312627
Carleman estimates for elliptic operators with complex coefficients Part II : transmission problems. ArXiv e-prints, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01312627
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
Observation estimate for kinetic transport equations by diffusion approximation, Comptes Rendus Mathematique, vol.355, issue.6, pp.640-664, 2017. ,
DOI : 10.1016/j.crma.2017.04.017
URL : https://doi.org/10.1016/j.crma.2017.04.017
Analyse fonctionnelle Collection Mathématiques Appliquées pour la Ma??triseMa??trise. [Collection of Applied Mathematics for the Master's Degree], Théorie et applications. [Theory and applications], 1983. ,
Stabilization of the wave equation with Ventcel boundary condition, J. Math. Pures Appl, vol.108, issue.92, pp.207-259, 2017. ,
Décroissance de l'´ energie locale de l'´ equation des ondes pour leprobì eme extérieur et absence de résonance au voisinage du réel, Acta Math, vol.180, issue.1, pp.1-29, 1998. ,
Sur unprobì eme d'unicité pur les systèmes d'´ equations aux dérivées partiellesàpartiellesà deux variables indépendantes, Ark. Mat., Astr. Fys, vol.26, issue.17, p.9, 1939. ,
Uniform stabilization of the damped Cauchy???Ventcel problem with variable coefficients and dynamic boundary conditions, Journal of Mathematical Analysis and Applications, vol.328, issue.2, pp.900-930, 2007. ,
DOI : 10.1016/j.jmaa.2006.05.070
Geometrically constrained stabilization of wave equations with Wentzell boundary conditions Cavalcanti, I. Lasiecka, and D. Toundykov. Wave equation with damping affecting only a subset of static Wentzell boundary is uniformly stable, Appl. Anal. Trans. Amer. Math. Soc, vol.91, issue.811, pp.1427-1452, 2012. ,
Carleman Estimates for a Class of Degenerate Parabolic Operators, SIAM Journal on Control and Optimization, vol.47, issue.1, pp.1-19, 2008. ,
DOI : 10.1137/04062062X
Control and nonlinearity, volume 136 of Mathematical Surveys and Monographs, 2007. ,
Carleman estimates for the Zaremba Boundary Condition and Stabilization of Waves, American Journal of Mathematics, vol.136, issue.2, pp.393-444, 2014. ,
DOI : 10.1353/ajm.2014.0014
URL : https://hal.archives-ouvertes.fr/hal-00634867
Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients, ESAIM: Control, Optimisation and Calculus of Variations, vol.28, pp.621-661, 2002. ,
DOI : 10.1016/0022-1236(79)90040-5
On majorization, factorization, and range inclusion of operators on Hilbert space, Proc. Amer, pp.413-415, 1966. ,
A General Theory of Observation and Control, SIAM Journal on Control and Optimization, vol.15, issue.2, pp.185-220, 1977. ,
DOI : 10.1137/0315015
Limiting Carleman weights and anisotropic inverse problems, Inventiones mathematicae, vol.41, issue.1, pp.119-171, 2009. ,
DOI : 10.1007/978-1-4757-6434-5
Wave propagation, observation and control in 1-d flexible multistructures, ) [Mathematics & Applications, 2006. ,
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 Schrödinger equation with Gaussian decay, Math. Res. Lett, vol.15, issue.5, pp.957-971, 2008. ,
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
Control and stabilization properties for a singular heat equation with an inversesquare potential, Comm. Partial Differential Equations, vol.33, pp.10-121996, 2008. ,
Controllability of evolution equations, Lecture Notes Series. Seoul National University Research Institute of Mathematics Global Analysis Research Center, vol.34, 1996. ,
Microlocal defect measures, Comm. Partial Differential Equations, vol.16, issue.11, pp.1761-1794, 1991. ,
Stabilisationfrontì ere deprobì emes de Ventcel, C. R. Acad. Sci. Paris Sér. I Math, vol.328, issue.12, pp.1171-1174, 1999. ,
Observabilitéfrontì ere de l'´ equation des ondes, C. R. Acad. Sci. Paris Sér. I Math, vol.302, issue.12, pp.443-446, 1986. ,
On the uniqueness of the Cauchy problem [Hör63] L. Hörmander. Linear partial differential operators. Die Grundlehren der mathematischen Wissenschaften, Bd. 116, Math. Scand, vol.6, pp.213-225, 1958. ,
Linear partial differential operators [Hör03] L. Hörmander. The analysis of linear partial differential operators. I. Classics in Mathematics Distribution theory and Fourier analysis, Reprint of the second, p.1065993, 1976. ,
The analysis of linear partial differential operators, III. Classics in Mathematics, 2007. ,
The analysis of linear partial differential operators Fourier integral operators, IV. Classics in Mathematics, 2009. ,
Inverse problems for partial differential equations, Applied Mathematical Sciences, vol.127, 2017. ,
Nodal sets of sums of eigenfunctions, Harmonic analysis and partial differential equations Chicago Lectures in Math, pp.223-239, 1996. ,
Controllability of linear dynamical systems, Contributions to Differential Equations, vol.1, pp.189-213, 1963. ,
Exponential decay for the semilinear cauchy-ventcel problem with localized damping-doi : 10.5269/bspm. v22i2. 7486, Boletim da Sociedade Paranaense de Matemática, pp.97-116, 2004. ,