P. Albano and D. Tataru, Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system, Electron. J. Differential Equations, 2000.

C. Bardos, 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

L. Baudouin, M. De-buhan, and S. Ervedoza, 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

L. Baudouin and J. P. , 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

M. Bellassoued and M. Yamamoto, 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

A. Benabdallah, M. Cristofol, P. Gaitan, and M. Yamamoto, 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

A. Benabdallah, P. Gaitan, and J. L. Rousseau, 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

A. L. Bukhgeim and M. V. Klibanov, Uniqueness in the large of a class of multidimensional inverse problems, Soviet Math. Dokl, vol.17, pp.1-241, 1981.

M. A. Chaplain and A. M. Stuart, 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

M. Cristofol, P. Gaitan, and H. , 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

M. Cristofol, P. Gaitan, H. Ramoul, and M. Yamamoto, 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

P. Gaitan and H. Ouzzane, 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

A. Gerisch, M. Kotschote, and R. Zacher, 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

O. Y. Imanuvilov, V. Isakov, and M. Yamamoto, 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

O. Y. Imanuvilov and M. Yamamoto, 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

V. Isakov and N. Kim, 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

M. V. Klibanov, Inverse problems in the large and Carleman bounds, Differ. Equ, vol.20, pp.755-760, 1984.

M. V. Klibanov, Inverse problems and Carleman estimates, Inverse Problems, vol.8, issue.4, pp.575-596, 1992.
DOI : 10.1088/0266-5611/8/4/009

M. V. Klibanov, 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

M. V. Klibanov and S. E. Pamyatnykh, 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

M. V. Klibanov and S. E. Pamyatnykh, 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

M. V. Klibanov and A. A. Timonov, Carleman Estimates for Coefficient Inverse Problems and Numerical Applications, Inverse Ill-posed Probl, 2004.
DOI : 10.1515/9783110915549

M. Machida and M. Yamamoto, 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

H. Ouzzane, Inégalités de Carleman ; applications aux problèmes inverses et au contrôle de quelques problèmes d'évolution, p.2014

B. Wu and J. Liu, 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

M. Yamamoto, Carleman estimates for parabolic equations and applications, Inverse Problems, vol.25, issue.12, 2009.
DOI : 10.1088/0266-5611/25/12/123013

G. Yuan and M. Yamamoto, 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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