Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system, Electron. J. Differential Equations, 2000. ,
Probl??mes aux limites pour les ??quations aux d??riv??es partielles du premier ordre ?? coefficients r??els; th??or??mes d'approximation; application ?? l'??quation de transport, Annales scientifiques de l'??cole normale sup??rieure, vol.3, issue.2, pp.185-233, 1970. ,
DOI : 10.24033/asens.1190
Global Carleman Estimates for Waves and Applications, Communications in Partial Differential Equations, vol.75, issue.5, pp.823-859, 2013. ,
DOI : 10.1137/S0363012999350298
URL : https://hal.archives-ouvertes.fr/hal-00633562
Uniqueness and stability in an inverse problem for the Schr??dinger equation, Inverse Problems, vol.18, issue.6, pp.1537-1554, 2002. ,
DOI : 10.1088/0266-5611/18/6/307
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
Inverse problem for a parabolic system with two components by measurments of one component, Appl. Anal, vol.88, issue.5, pp.1-28, 2009. ,
DOI : 10.1080/00036810802555490
URL : http://arxiv.org/pdf/0809.1542
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
Uniqueness in the large of a class of multidimensional inverse problems, Soviet Math. Dokl, vol.17, pp.1-241, 1981. ,
A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor, Mathematical Medicine and Biology, vol.10, issue.3, pp.149-168, 1993. ,
DOI : 10.1093/imammb/10.3.149
Inverse problems for a 2 ?? 2 reaction???diffusion system using a Carleman estimate with one observation, Inverse Problems, vol.22, issue.5, pp.1561-1573, 2006. ,
DOI : 10.1088/0266-5611/22/5/003
URL : http://arxiv.org/pdf/math/0603484
Identification of two coefficients with data of one component for a nonlinear parabolic system, Applicable Analysis, vol.91, issue.11, pp.2073-2081, 2012. ,
DOI : 10.1137/S0363012904439696
Inverse problem for a free transport equation using Carleman estimates, Applicable Analysis, vol.21, issue.5, pp.1073-1086, 2014. ,
DOI : 10.1088/0266-5611/18/6/307
Well-posedness of a quasilinear hyperbolic-parabolic system arising in mathematical biology, Nonlinear Differential Equations and Applications NoDEA, vol.14, issue.5-6, pp.5-6, 2007. ,
DOI : 10.1007/s00030-007-5023-2
URL : http://www.mathematik.uni-halle.de/reports/sources/2004/04-24report.pdf
An inverse problem for the dynamical Lam?? system with two sets of boundary data, Communications on Pure and Applied Mathematics, vol.78, issue.1, pp.1366-1382, 2003. ,
DOI : 10.1016/S0021-7824(99)80010-5
Lipschitz stability in inverse parabolic problems by the Carleman estimate, Inverse Problems, vol.14, issue.5, pp.1229-1245, 1998. ,
DOI : 10.1088/0266-5611/14/5/009
Carleman Estimates with Second Large Parameter for Second Order Operators, Sobolev Spaces in Mathematics. III: Applications in Mathematical Physics, pp.135-159, 2009. ,
DOI : 10.1007/978-0-387-85652-0_3
Inverse problems in the large and Carleman bounds, Differ. Equ, vol.20, pp.755-760, 1984. ,
Inverse problems and Carleman estimates, Inverse Problems, vol.8, issue.4, pp.575-596, 1992. ,
DOI : 10.1088/0266-5611/8/4/009
Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems, J. Inverse Ill-Posed Probl, pp.477-560, 2013. ,
DOI : 10.1515/jip-2012-0072
URL : http://arxiv.org/pdf/1210.1780.pdf
Lipschitz stability of a non-standard problem for the non-stationary transport equation via a Carleman estimate, Inverse Problems, vol.22, issue.3, pp.881-890, 2006. ,
DOI : 10.1088/0266-5611/22/3/009
Global uniqueness for a coefficient inverse problem for the non-stationary transport equation via Carleman estimate, Journal of Mathematical Analysis and Applications, vol.343, issue.1, pp.352-365, 2008. ,
DOI : 10.1016/j.jmaa.2008.01.071
URL : https://doi.org/10.1016/j.jmaa.2008.01.071
Carleman Estimates for Coefficient Inverse Problems and Numerical Applications, Inverse Ill-posed Probl, 2004. ,
DOI : 10.1515/9783110915549
Global Lipschitz stability in determining coefficients of the radiative transport equation, Inverse Problems, vol.30, issue.3, 2014. ,
DOI : 10.1088/0266-5611/30/3/035010
Inégalités de Carleman ; applications aux problèmes inverses et au contrôle de quelques problèmes d'évolution, p.2014 ,
Conditional stability and uniqueness for determining two coefficients in a hyperbolic???parabolic system, Inverse Problems, vol.27, issue.7, 2011. ,
DOI : 10.1088/0266-5611/27/7/075013
Carleman estimates for parabolic equations and applications, Inverse Problems, vol.25, issue.12, 2009. ,
DOI : 10.1088/0266-5611/25/12/123013
Lipschitz stability in the determination of the principal part of a parabolic equation, ESAIM: Control, Optimisation and Calculus of Variations, vol.17, issue.3, pp.525-554, 2009. ,
DOI : 10.1088/0266-5611/17/4/340
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