Convergence of an Inverse Problem for a 1-D Discrete Wave Equation, SIAM Journal on Control and Optimization, vol.51, issue.1, pp.556-598, 2013. ,
DOI : 10.1137/110838042
Global carleman estimates for waves and 898 applications, Comm. Partial Differential Equations, vol.38, issue.5, pp.823-859, 2013. ,
Boundary control in reconstruction of manifolds and metrics (the BC method), Inverse Problems, vol.13, issue.5, pp.1-45, 1997. ,
DOI : 10.1088/0266-5611/13/5/002
Boundary control and inverse problems: a one-dimensional version of 902 the boundary control method, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst, p.903 ,
Stability of an inverse problem for the dis- 906 crete wave equation and convergence results, Journal de Mathématiques Pures et 907 Appliquées, pp.19-80, 2015. ,
Sharp sufficient conditions for the observation, 912 control and stabilization of waves from the boundary Uniform controllability properties for 915 space/time-discretized parabolic equations, Discrete Carleman estimates for elliptic oper- 918 (a) Exact potentials. (b) Potentials recovered numerically, pp.910-288, 1992. ,
Different examples of reconstruction in the 2d case. ators in arbitrary dimension and applications Discrete Carleman estimates for elliptic oper- 921 ators and uniform controllability of semi-discretized parabolic equations, SIAM J. Control Optim. J. Math, vol.13, issue.920, pp.5357-5397, 2010. ,
Rousseau Carleman estimates for semi-discrete parabolic operators 924 and application to the controllability of semi-linear semi-discrete parabolic equa- 925 tions Uniqueness in the large of a class of multidimen- 927 sional inverse problems Fernández-Cara, and A. Münch, Numerical controllability of the wave 929 equation through primal methods and Carleman estimates, ESAIM: Control, Opti- 930 misation and Calculus of Variations, Fu, J. Yong, and X. Zhang, Exact controllability for multidimensional semilinear 932 hyperbolic equations, SIAM J. Control Optim, pp.240-276, 1981. ,
Observabilitéfrontì ere de l'´ equation des ondes, C. R. Acad. Sci. Paris Sér. I 935 Math, vol.302, issue.12, pp.443-446, 1986. ,
An inverse hyperbolic problem with many boundary measurements Global Lipschitz stability in an inverse hyper- 943 bolic problem by interior observations 944 Special issue to celebrate Pierre Sabatier's 65th birthday Determination of a coefficient in an acoustic 949 equation with a single measurement, Applied Math- 937 ematical SciencesIm02] O. Y. Imanuvilov. On Carleman estimates for hyperbolic equations Global uniqueness and stability in determining 946 coefficients of wave equations, pp.938-970, 1183. ,
Global Convexity in a Three-Dimensional Inverse Acoustic Problem, SIAM Journal on Mathematical Analysis, vol.28, issue.6, pp.1371-1388, 1997. ,
DOI : 10.1137/S0036141096297364
Approximate global convergence and adaptivity for co- 953 efficient inverse problems Uniform stability estimates for the discrete Caldern 955 problems, Inverse Problems, vol.27, issue.12, pp.954-125012, 2011. ,
Uniform strict convexity of a cost functional 957 for three-dimensional inverse scattering problem, SIAM J. Math. Anal, vol.26, issue.1, pp.958-147, 1995. ,
Stability estimates for ill-posed cauchy problems involving hyperbolic equations and inequalities, Applicable Analysis, vol.64, issue.1-2, pp.93-961, 1993. ,
DOI : 10.1007/BF01182480
Carleman estimates for global uniqueness, stability and numerical 963 methods for coefficient inverse problems, J. Inverse Ill-Posed Probl, pp.477-560, 2013. ,
Inverse problems and Carleman estimates, Inverse Problems, vol.8, issue.4, pp.575-596, 1992. ,
DOI : 10.1088/0266-5611/8/4/009
A Computational Quasi-Reversibility Method for Cauchy Problems for Laplace???s Equation, SIAM Journal on Applied Mathematics, vol.51, issue.6, pp.1653-1675, 1991. ,
DOI : 10.1137/0151085
Lipschitz stability of an inverse problem for an acoustic equation, Applicable Analysis, vol.20, issue.5, pp.515-538, 2006. ,
DOI : 10.1088/0266-5611/20/3/004
Contrôlabilité exacte, stabilisation et perturbations de systèmes distribués Nonhomogeneous boundary value problems 974 for second order hyperbolic operators, J. Math. Pures Appl, vol.8, issue.65 2, pp.973-975, 1986. ,
Shishatski? ?, Ill-posed problems of mathe- 977 matical physics and analysis, Translations of Mathematical Monographs, p.979, 1986. ,
On a global estimate in a linear inverse hyperbolic problem, Inverse Problems, vol.12, issue.6, pp.995-1002, 1996. ,
DOI : 10.1088/0266-5611/12/6/013
Generic well-posedness in a multidimensional hyperbolic 982 inverse problem, J. Inverse Ill-Posed Probl, vol.5, issue.1, pp.55-83, 1997. ,
Recovery of a source term or a speed with one measurement and applications, Trefethen, Group velocity in finite difference schemes, pp.5737-5758, 1982. ,
DOI : 10.1090/S0002-9947-2013-05703-0
989 [Zha00] X. Zhang, Explicit observability estimate for the wave equation with potential and its 990 application, 992 [Zua05] E. Zuazua, Propagation, observation, and control of waves approximated by finite dif- 993 ference methods, SIAM Rev, pp.65-98, 1997. ,