Exact Controllability of the Superlinear Heat Equation, Applied Mathematics and Optimization, vol.42, issue.1, pp.73-89, 2000. ,
DOI : 10.1007/s002450010004
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
Carleman estimates and distribution of resonances for the transparent obstacle and application to the stabilization , Asymptotic Anal, pp.257-279, 2003. ,
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-00843207
Carleman estimate with second large parameter for second order hyperbolic operators in a Riemannian manifold and applications in thermoelasticity cases, Applicable Analysis, vol.2000, issue.1, pp.35-67, 2012. ,
DOI : 10.1088/0266-5611/14/2/007
Global uniqueness of class of multidimensional inverse problems, Soviet Math. Dokl, vol.24, pp.244-247, 1981. ,
Transmission eigenvalues and the nondestructive testing of dielectrics, Inverse Problems, vol.24, issue.6, pp.65016-65031, 2008. ,
DOI : 10.1088/0266-5611/24/6/065016
The Existence of an Infinite Discrete Set of Transmission Eigenvalues, SIAM Journal on Mathematical Analysis, vol.42, issue.1, pp.237-255, 2010. ,
DOI : 10.1137/090769338
URL : https://hal.archives-ouvertes.fr/hal-00739145
Transmission eigenvalues in inverse scattering theory Inverse problems and applications: inside out, II, Math. Sci. Res. Inst. Publ, vol.60, pp.529-580 ,
Uniqueness in the Cauchy Problem for Partial Differential Equations, American Journal of Mathematics, vol.80, issue.1, pp.16-36, 1958. ,
DOI : 10.2307/2372819
Sur une problème d'unicité pour les systèmes d'équations aux dérivées partielles à deux variables indépendantes, Ark. Mat. Astr. Fys, vol.26, issue.17, pp.1-9, 1939. ,
The interior transmission problem, Inverse Problems and Imaging, vol.1, issue.1, pp.13-28, 2007. ,
DOI : 10.3934/ipi.2007.1.13
URL : https://hal.archives-ouvertes.fr/hal-00741619
Limiting Carleman weights and anisotropic inverse problems, Inventiones mathematicae, vol.41, issue.1, pp.119-171, 2009. ,
DOI : 10.1007/s00222-009-0196-4
Carleman Estimates with a Second Large Parameter, Journal of Mathematical Analysis and Applications, vol.249, issue.2, pp.491-514, 2000. ,
DOI : 10.1006/jmaa.2000.6903
Carleman estimates with two large parameters and applications, Contemporary Math, pp.117-136, 2000. ,
Null and approximate controllability for weakly blowing up semilinear heat equations, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.17, issue.5, pp.583-616, 2000. ,
DOI : 10.1016/S0294-1449(00)00117-7
Imanuvilov, Controllability of evolution equations, 1996. ,
Die Grundlehren der mathematischen Wissenschaften, Bd The Weyl calculus of pseudo-differential operators The analysis of linear partial differential operators. III, Grundlehren der The analysis of linear partial differential operators, On the uniqueness of the Cauchy problem Linear partial differential operators IV, Grundlehren der Mathematischen Wissenschaften, pp.213-225, 1958. ,
An inverse problem for the dynamical Lamé system with two sets of boundary data, Comm. Pure Appl. Math, vol.56, pp.1366-1382, 2003. ,
Inverse problems for partial differential equations, 1998. ,
Carleman estimates with two large parameters for second order operators and applications to elasticity with residual stress, Applicationes Mathematicae, vol.35, issue.4, pp.447-465, 2008. ,
DOI : 10.4064/am35-4-4
Unique Continuation and Absence of Positive Eigenvalues for Schrodinger Operators, The Annals of Mathematics, vol.121, issue.3, pp.463-494, 1985. ,
DOI : 10.2307/1971205
The Calder??n problem with partial data, Annals of Mathematics, vol.165, issue.2, pp.567-591, 2007. ,
DOI : 10.4007/annals.2007.165.567
Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients, Communications on Pure and Applied Mathematics, vol.2, issue.3, pp.339-360, 2001. ,
DOI : 10.1002/1097-0312(200103)54:3<339::AID-CPA3>3.0.CO;2-D
Uniqueness in inverse hyperbolic problems, -Carleman estimate for
boundary value problems-, Journal of Mathematics of Kyoto University, vol.40, issue.3, pp.451-473, 2000. ,
DOI : 10.1215/kjm/1250517676
On Carleman estimates with two large parameters, Indiana Univ, Math. J, pp.55-113, 2015. ,
On carleman estimates for elliptic and parabolic operators. applications to unique continuation and control of parabolic equations, ESAIM: Control, Optimisation and Calculus of Variations, pp.712-747, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00351736
Carleman estimates for anisotropic elliptic operators with jumps at an interface, Anal. PDE, vol.6, pp.1601-1648, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00546869
Carleman estimate for elliptic operators with coefficents with jumps at an interface in arbitrary dimension and application to the null controllability of linear parabolic equations, Arch. Rational Mech. Anal, vol.105, pp.953-990, 2010. ,
Local and global Carleman estimates for parabolic operators with coefficients with jumps at interfaces, Inventiones Math A spectral inequality for the bi-laplace operator, pp.245-336, 2011. ,
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
Metrics on the Phase Space and Non-Selfadjoint Pseudo-Differential Operators, Pseudo-Differential Operators, 2010. ,
Mixed problems for hyperbolic equations of second order with first order complex boundary operators, Japan. J. Math. (N.S.), vol.1, issue.76 1, pp.109-158, 1975. ,
Asymptotics of the number of the interior transmission eigenvalues, Journal of Spectral Theory, vol.7, issue.1 ,
DOI : 10.4171/JST/154
URL : https://hal.archives-ouvertes.fr/hal-00960337
Spectral analysis of the interior transmission eigenvalue problem, Inverse Problems, vol.29, issue.10, p.28, 2013. ,
DOI : 10.1088/0266-5611/29/10/104001
Mixed problems for hyperbolic equations I Energy inequalities, Journal of Mathematics of Kyoto University, vol.10, issue.2, pp.349-373, 1970. ,
DOI : 10.1215/kjm/1250523767
A generalization of the problem of transmission, Ann. Scuola Norm. Sup. Pisa, vol.14, issue.3, pp.207-236, 1960. ,
Oscillatory integrals and unique continuation for second order elliptic differential equations, Journal of the American Mathematical Society, vol.2, issue.3, pp.491-515, 1989. ,
DOI : 10.1090/S0894-0347-1989-0999662-3
Carleman estimates and unique continuation for solutions to boundary value problems, J. Math. Pures Appl, vol.75, pp.367-408, 1996. ,
Uniqueness and Non Uniqueness in the Cauchy Problem, Birkhauser, vol.33, 1983. ,
DOI : 10.1007/978-1-4899-6656-8
E-mail address: mourad.bellassoued@fsb.rnu, 1002. ,