S. Alinhac, Non-Unicite du Probleme de Cauchy, The Annals of Mathematics, vol.117, issue.1, pp.77-108, 1983.
DOI : 10.2307/2006972

M. Anderson, A. Katsuda, Y. Kurylev, M. Lassas, and M. Taylor, Boundary regularity for the Ricci equation, geometric convergence, and Gel'fand's inverse boundary problem, Invent. Math, pp.158-261, 2004.

M. Bellassoued, M. Choulli, and M. Yamamoto, Stability estimate for an inverse wave equation and a multidimensional Borg???Levinson theorem, Journal of Differential Equations, vol.247, issue.2, pp.465-494, 2009.
DOI : 10.1016/j.jde.2009.03.024

M. Bellassoued and D. Ferreira, Stability estimates for the anisotropic wave equation from the Dirichlet-to-Neumann map, Inverse Problems and Imaging, vol.5, issue.4, pp.745-773, 2011.
DOI : 10.3934/ipi.2011.5.745

M. Bellassoued, D. Jellali, and M. Yamamoto, Lipschitz stability for a hyperbolic inverse problem by finite local boundary data, Applicable Analysis, vol.85, issue.10, pp.1219-1243, 2006.
DOI : 10.1080/00036810600787873

M. Belishev, An approach to multidimensional inverse problems for the wave equation, Dokl. Akad. Nauk SSSR, vol.297, pp.524-527, 1987.

M. Belishev, Recent progress in the boundary control method, Inverse Problems, vol.23, issue.5, pp.1-67, 2007.
DOI : 10.1088/0266-5611/23/5/R01

M. Belishev and Y. Kurylev, To the reconstruction of a riemannian manifold via its spectral data (Bc???Method), Communications in Partial Differential Equations, vol.107, issue.5-6, pp.767-804, 1992.
DOI : 10.1007/BF01448201

I. and B. Aicha, Stability estimate for a hyperbolic inverse problem with time-dependent coefficient, Inverse Problems, vol.31, issue.12, pp.31-125010, 2015.
DOI : 10.1088/0266-5611/31/12/125010

A. Bukhgeim and M. Klibanov, Global uniqueness of a class of multidimensional inverse problem, Sov. Math.- Dokl, vol.24, pp.244-247, 1981.

A. L. Bukhgeim and G. Uhlmann, RECOVERING A POTENTIAL FROM PARTIAL CAUCHY DATA, Communications in Partial Differential Equations, vol.1, issue.3-4, pp.3-4, 2002.
DOI : 10.1081/PDE-120002868

P. Caro and M. Salo, Stability of the Calderón problem in admissible geometries, Inverse Probl. Imaging, vol.8, issue.4, pp.939-957, 2014.

M. Choulli, Une introduction auxprobì emes inverses elliptiques et paraboliques, Mathématiques et Applications, vol.65, 2009.

M. Choulli and Y. Kian, Logarithmic stability in determining the time-dependent zero order coefficient in a parabolic equation from a partial Dirichlet-to-Neumann map. Application to the determination of a nonlinear term, preprint
URL : https://hal.archives-ouvertes.fr/hal-01322796

D. Ferreira, Y. Kenig, M. Salo, and G. Uhlmann, Limiting Carleman weights and anisotropic inverse problems, Inventiones mathematicae, vol.41, issue.1, pp.119-171, 2009.
DOI : 10.1007/s00222-009-0196-4

D. Ferreira, Y. Kurylev, M. Lassas, and M. Salo, The Calderón problem in transversally anisotropic geometries, to appear in J. Eur, Math. Soc., preprint

G. Eskin, Inverse Hyperbolic Problems with Time-Dependent Coefficients, Communications in Partial Differential Equations, vol.16, issue.11, pp.1737-1758, 2007.
DOI : 10.1080/03605309508821117
URL : http://arxiv.org/abs/math/0508161

B. Frigyik, P. Stefanov, and G. Uhlmann, The X-Ray Transform for a Generic Family of??Curves??and??Weights, Journal of Geometric Analysis, vol.18, issue.4, pp.89-108, 2008.
DOI : 10.1007/s12220-007-9007-6

L. Hörmander, The Analysis of linear partial differential operators, 1983.

L. Hörmander, The analysis of linear partial differential operators, pp.274-525, 1985.

J. Ilmavirta, A Reflection Approach to the Broken Ray Transform, MATHEMATICA SCANDINAVICA, vol.117, issue.2, pp.217-230, 2013.
DOI : 10.7146/math.scand.a-22869

V. Isakov, Completeness of products of solutions and some inverse problems for PDE, Journal of Differential Equations, vol.92, issue.2, pp.305-316, 1991.
DOI : 10.1016/0022-0396(91)90051-A

V. Isakov, On uniqueness in inverse problems for semilinear parabolic equations, Archive for Rational Mechanics and Analysis, vol.125, issue.1, pp.1-12, 1993.
DOI : 10.1007/BF00392201

A. Katchalov, Y. Kurylev, and M. Lassas, Inverse boundary spectral problems
DOI : 10.1201/9781420036220

C. E. Kenig and M. Salo, The Calder??n problem with partial data on manifolds and applications, Analysis & PDE, vol.6, issue.8, pp.2003-2048, 2013.
DOI : 10.2140/apde.2013.6.2003

C. E. Kenig, J. Sjöstrand, and G. Uhlmann, 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

Y. Kian, Stability of the determination of a coefficient for wave equations in an infinite waveguide, Inverse Problems and Imaging, vol.8, issue.3, pp.713-732, 2014.
DOI : 10.3934/ipi.2014.8.713
URL : https://hal.archives-ouvertes.fr/hal-00824508

Y. Kian, Unique determination of a time-dependent potential for wave equations from partial data, preprint

Y. Kian, Stability in the determination of a time-dependent coefficient for wave equations from partial data, Journal of Mathematical Analysis and Applications, vol.436, issue.1, pp.436-408, 2016.
DOI : 10.1016/j.jmaa.2015.12.018
URL : https://hal.archives-ouvertes.fr/hal-01011051

Y. Kian, Recovery of time-dependent damping coefficients and potentials appearing in wave equations from partial data, preprint

Y. Kurylev, L. Oksanen, and G. Paternain, Inverse problems for the connection Laplacian

I. Lasiecka, J. Lions, and R. Triggiani, Non homogeneous boundary value problems for second order hyperbolic operators, J. Math. Pures Appl, vol.65, pp.149-192, 1986.

M. Lassas and L. Oksanen, Inverse problem for the Riemannian wave equation with Dirichlet data and Neumann data on disjoint sets, Duke Math, J, vol.163, issue.6, pp.1071-1103, 2014.

S. Liu and L. Oksanen, A Lipschitz stable reconstruction formula for the inverse problem for the wave equation, Transactions of the American Mathematical Society, vol.368, issue.1, pp.319-335, 2016.
DOI : 10.1090/tran/6332

C. Montalto, Stable Determination of a Simple Metric, a Covector Field and a Potential from the Hyperbolic Dirichlet-to-Neumann Map, Communications in Partial Differential Equations, vol.321, issue.1, pp.120-145, 2014.
DOI : 10.1080/03605309508821117

A. G. Rakesh and . Ramm, Property C and an Inverse Problem for a Hyperbolic Equation, J. Math. Anal. Appl, vol.156, pp.209-219, 1991.

W. Rakesh and . Symes, Uniqueness for an inverse problem for the wave equation, Communications in Partial Differential Equations, vol.24, issue.1, pp.87-96, 1988.
DOI : 10.2307/1971291

A. G. Ramm and J. Sjöstrand, An inverse problem of the wave equation, Mathematische Zeitschrift, vol.10, issue.1, pp.119-130, 1991.
DOI : 10.1007/BF02571330

R. Salazar, Determination of time-dependent coefficients for a hyperbolic inverse problem, Inverse Problems, vol.29, issue.9, p.95015, 2013.
DOI : 10.1088/0266-5611/29/9/095015

M. Spivak, A comprehensive introduction to differential geometry, Publish or Perish, 1970.

P. Stefanov, Uniqueness of the multi-dimensional inverse scattering problem for time dependent potentials, Mathematische Zeitschrift, vol.33, issue.11, pp.541-559, 1989.
DOI : 10.1007/BF01215158

P. Stefanov, Support theorems for the light ray transform on analytic Lorentzian manifolds, Proceedings of the American Mathematical Society, vol.145, issue.3
DOI : 10.1090/proc/13117

P. Stefanov and G. Uhlmann, Stability Estimates for the Hyperbolic Dirichlet to Neumann Map in Anisotropic Media, Journal of Functional Analysis, vol.154, issue.2, pp.330-358, 1998.
DOI : 10.1006/jfan.1997.3188

P. Stefanov and G. Uhlmann, Stable determination of the hyperbolic Dirichlet-to-Neumann map for generic simple metrics, International Math Research Notices (IMRN), vol.17, pp.1047-1061, 2005.

D. Tataru, Unique continuation for solutions to PDE; between Hörmander's theorem and Holmgren's theorem, Commun. Partial Diff. Eqns, vol.20, pp.855-884, 1995.

A. Waters, Stable Determination of X-Ray Transforms of Time Dependent Potentials from Partial Boundary Data, Communications in Partial Differential Equations, vol.23, issue.12, pp.2169-2197, 2014.
DOI : 10.4310/CMS.2011.v9.n1.a11