Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications to controllability and an inverse problem, J. Math. Anal. Appl, vol.336, pp.865-887, 2007. ,
On the controllability of linear parabolic equations with an arbitrary control location for stratified media, C. R. Acad. Sci. Paris, Ser I, vol.344, pp.357-362, 2007. ,
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 and distribution of resonances for the transparent obstacle and application to the stabilization, Asymptotic Anal, vol.35, pp.257-279, 2003. ,
Stability of Discontinuous Diffusion Coefficients and Initial Conditions in an Inverse Problem for the Heat Equation, SIAM Journal on Control and Optimization, vol.46, issue.5, pp.1849-1881, 2007. ,
DOI : 10.1137/050640047
URL : https://hal.archives-ouvertes.fr/hal-00016490
Analyse Fonctionnelle, 1983. ,
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. ,
Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients, ESAIM: Control, Optimisation and Calculus of Variations, vol.8, pp.621-661, 2002. ,
DOI : 10.1051/cocv:2002047
Microlocal Analysis for Differential Operators, 1994. ,
DOI : 10.1017/CBO9780511721441
Linear Partial Differential Operators, 1963. ,
The Weyl calculus of pseudo-differential operators, Comm. Pure Appl. Math, vol.32, pp.359-443, 1979. ,
The Analysis of Linear Partial Differential Operators, volume III, 1985. ,
The Analysis of Linear Partial Differential Operators, volume IV The Analysis of Linear Partial Differential Operators, volume I, 1985. ,
Harmonic analysis and partial differential equations (Chicago, IL, 1996), chapter Nodal sets of sums of eigenfunctions, Chicago Lectures in Mathematics, pp.223-239, 1999. ,