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. D. Blair, H. F. Smith, and C. D. Sogge, Strichartz estimates for the wave equation on manifolds with boundary, Annales de l'IHP (C) Nonlinear Analysis, pp.26-1817, 2009.

N. Burq, G. Lebeau, and F. Planchon, Global existence for energy critical waves in $3$-d domains, Journal of the American Mathematical Society, vol.21, issue.3, pp.831-845, 2008.
DOI : 10.1090/S0894-0347-08-00596-1

URL : https://hal.archives-ouvertes.fr/hal-00102524

T. Cazenave and A. Haraux, An introduction to semilinear evolution equations, Clarenson press-Oxford, 1998.

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, Journal de Math??matiques Pures et Appliqu??es, vol.114, pp.235-261, 2018.
DOI : 10.1016/j.matpur.2017.12.003

URL : https://hal.archives-ouvertes.fr/hal-01322796

M. Choulli, E. M. Ouhabaz, and M. Yamamoto, Stable determination of a semilinear term in a parabolic equation, Commun. Pure Appl. Anal, vol.5, issue.3, pp.447-462, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00283723

M. Christ and A. Kiselev, Maximal Functions Associated to Filtrations, Journal of Functional Analysis, vol.179, issue.2, pp.409-425, 2001.
DOI : 10.1006/jfan.2000.3687

M. Cristofol, J. Garnier, F. Hamel, and R. , Uniqueness from pointwise observations in a multi-parameter inverse problem, Communications on Pure and Applied Analysis, vol.11, issue.1, pp.173-188, 2012.
DOI : 10.3934/cpaa.2012.11.173

URL : https://hal.archives-ouvertes.fr/hal-00596238

M. De-hoop, G. Uhlmann, and Y. Wang, Nonlinear responses from the interaction of two progressing waves at an interface, to appear in Annales de l'IHP (C) Nonlinear Analysis, https

G. Hu and Y. Kian, Determination of singular time-dependent coefficients for wave equations from full and partial data, Inverse Problems & Imaging, vol.12, issue.3, pp.12-745, 2018.
DOI : 10.3934/ipi.2018032

URL : https://hal.archives-ouvertes.fr/hal-01544811

S. Ibrahim and R. Jrad, Strichartz type estimates and the well-posedness of an energy critical 2D wave equation in a bounded domain, Journal of Differential Equations, vol.250, issue.9, pp.3740-3771, 2011.
DOI : 10.1016/j.jde.2011.01.008

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

V. Isakov, Uniqueness of recovery of some systems of semilinear partial differential equations, Inverse Problems, vol.17, issue.4, pp.607-618, 2001.
DOI : 10.1088/0266-5611/17/4/303

V. Isakov, UNIQUENESS OF RECOVERY OF SOME QUASILINEAR PARTIAL DIFFERENTIAL EQUATIONS, Communications in Partial Differential Equations, vol.26, issue.11-12, pp.1947-1973, 2001.
DOI : 10.1081/PDE-100107813

V. Isakov and A. Nachman, Global uniqueness for a two-dimensional semilinear elliptic inverse problem, Transactions of the American Mathematical Society, vol.347, issue.9, pp.3375-3391, 1995.
DOI : 10.1090/S0002-9947-1995-1311909-1

L. Kapitanski, Cauchy problem for a semilinear wave equation. II, Journal of Soviet Mathematics, vol.163, issue.No. 3, pp.2746-2777, 1992.
DOI : 10.1007/978-1-4757-4317-3

A. Katchalov, Y. Kurylev, and M. Lassas, Inverse boundary spectral problems, Chapman & Hall/CRC Monogr. Surv. Pure Appl. Math, vol.123, 2001.
DOI : 10.1201/9781420036220

Y. Kian, Cauchy problem for semilinear wave equation with time-dependent metrics, Nonlinear Analysis: Theory, Methods & Applications, pp.2204-2212, 2010.
DOI : 10.1016/j.na.2010.05.048

URL : http://arxiv.org/pdf/1102.4174

Y. Kian, Unique determination of a time-dependent potential for wave equations from partial data, Annales de l'IHP (C) Nonlinear Analysis, pp.973-990, 2017.

Y. Kian and L. Oksanen, Recovery of time-dependent coefficient on Riemanian manifold for hyperbolic equations
DOI : 10.1093/imrn/rnx263

Y. Kian and M. Yamamoto, On existence and uniqueness of solutions for semilinear fractional wave equations, Fractional Calculus and Applied Analysis, pp.117-138, 2017.

M. Klibanov, Global uniqueness of a multidimensional inverse problem for a nonlinear parabolic equation by a Carleman estimate, Inverse Problems, vol.20, issue.4, p.1003, 2004.
DOI : 10.1088/0266-5611/20/4/002

Y. Kurylev, M. Lassas, and G. Uhlmann, Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations, Inventiones mathematicae, pp.781-857, 2018.
DOI : 10.1007/s00222-017-0780-y

URL : http://arxiv.org/pdf/1405.3386

Y. Kurylev, M. Lassas, L. Oksanen, and G. Uhlmann, Inverse problem for Einstein-scalar field equations, preprint

O. A. Ladyzhenskaja, V. A. Solonnikov, and N. N. , Ural'tzeva, Linear and quasilinear equations of parabolic type, Nauka, Moscow, 1967 in Russian ; English translation, 1968.

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.

J. Lions and E. Magenes, Problèmes aux limites non homogènes et applications, 1968.

J. Lions and E. Magenes, Problèmes aux limites non homogènes et applications, 1968.

G. Nakamura and M. Watanabe, An inverse boundary value problem for a nonlinear wave equation, Inverse Probl. Imaging, vol.2, issue.1, pp.121-131, 2008.

G. Nakamura and M. Vashisth, Inverse boundary value problem for non-linear hyperbolic partial differential Equations

P. Stefanov and G. Uhlmann, Stable determination of the hyperbolic Dirichlet-to-Neumann map for generic simple metrics, pp.17-1047, 2005.

P. Stefanov and Y. Yang, The inverse problem for the Dirichlet-to-Neumann map on Lorentzian manifolds, Analysis & PDE, vol.34, issue.6, pp.11-1381, 2018.
DOI : 10.1080/03605302.2014.930486

Z. Sun and G. Uhlmann, Inverse problems in quasilinear anisotropic media, Amer. J. Math, vol.119, pp.771-799, 1997.

C. , C. Marseille, and F. ,