1.Ahluwalia, D. and Keller, J., Exact and Asymptotic Representations of the Sound Field in a Stratified Ocean. Wave Propagation and Underwater Acoustics, Lecture Notes in Physics, vol. 70, pp. 14–85 (Springer, Berlin, 1977).
2.Ammari, H. and Uhlmann, G., Reconstuction from partial Cauchy data for the Schrödinger equation, Indiana Univ. Math. J. 53 (2004), 169–184.
3.Bellassoued, M., Kian, Y. and Soccorsi, E., An inverse stability result for non compactly supported potentials by one arbitrary lateral Neumann observation, J. Differential Equations 260 (2016), 7535–7562.
4.Bellassoued, M., Kian, Y. and Soccorsi, E., An inverse problem for the magnetic Schrödinger equation in infinite cylindrical domains, Publ. Res. Inst. Math. Sci. 54 (2018), 679–728.
5.Bukhgeim, A., Recovering the potential from Cauchy data in two dimensions, J. Inverse Ill-Posed Probl. 16 (2008), 19–34.
6.Bukhgeim, A. L. and Uhlmann, G., Recovering a potential from partial Cauchy data, Commun. Partial Differential Equations 27(3–4) (2002), 653–668.
7.Calderón, A. P., On an inverse boundary value problem, in Seminar on Numerical Analysis and its Applications to Continuum Physics, pp. 65–73 (Sociedade Brasileira de Matematica, Rio de Janeiro, 1980).
8.Caro, P., Dos Santos Ferreira, D. and Ruiz, A., Stability estimates for the Radon transform with restricted data and applications, Adv. Math. 267 (2014), 523–564.
9.Caro, P., Dos Santos Ferreira, D. and Ruiz, A., Stability estimates for the Calderón problem with partial data, J. Differential Equations 260 (2016), 2457–2489.
10.Caro, P. and Marinov, K., Stability of inverse problems in an infinite slab with partial data, Comm. Partial Differential Equations 41 (2016), 683–704.
11.Chang, P.-Y. and Lin, H.-H., Conductance through a single impurity in the metallic zigzag carbon nanotube, Appl. Phys. Lett. 95 (2009), 082104.
12.Choulli, M., Une introduction aux problèmes inverses elliptiques et paraboliques, Mathématiques et Applications, Volume 65 (Springer, Berlin, 2009).
13.Choulli, M. and Kian, Y., 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, J. Math. Pures Appl. (9) 114 (2018), 235–261.
14.Choulli, M., Kian, Y. and Soccorsi, E., Stable determination of time-dependent scalar potential from boundary measurements in a periodic quantum waveguide, SIAM J. Math. Anal. 47(6) (2015), 4536–4558.
15.Choulli, M., Kian, Y. and Soccorsi, E., Double logarithmic stability estimate in the identification of a scalar potential by a partial elliptic Dirichlet-to-Neumann map, Bulletin of the South Ural State University, Ser. Mathematical Modelling, Programming and Computer Software (SUSU MMCS) 8(3) (2015), 78–95.
16.Choulli, M., Kian, Y. and Soccorsi, E., Stability result for elliptic inverse periodic coefficient problem by partial Dirichlet-to-Neumann map, J. Spectr. Theory 8(2) (2018), 733–768.
17.Choulli, M., Kian, Y. and Soccorsi, E., On the Calderón problem in periodic cylindrical domain with partial Dirichlet and Neumann data, Math. Methods Appl. Sci. 40 (2017), 5959–5974.
18.Choulli, M. and Soccorsi, E., An inverse anisotropic conductivity problem induced by twisting a homogeneous cylindrical domain, J. Spectr. Theory 5 (2015), 295–329.
19.Hörmander, L., The Analysis of Linear Partial Differential Operators, vol. II (Springer, Berlin, Heidelberg, 1983).
20.Hu, G. and Kian, Y., Determination of singular time-dependent coefficients for wave equations from full and partial data, Inverse Probl. Imaging 12 (2018), 745–772.
21.Ikehata, M., Inverse conductivity problem in the infinite slab, Inverse Problems 17 (2001), 437–454.
22.Imanuvilov, O., Uhlmann, G. and Yamamoto, M., The Calderón problem with partial data in two dimensions, J. Amer. Math. Soc. 23 (2010), 655–691.
23.Imanuvilov, O., Uhlmann, G. and Yamamoto, M., Partial Cauchy data for general second order elliptic operators in two dimensions, Publ. Res. Inst. Math. Sci. 48 (2012), 971–1055.
24.Isakov, V., Completness of products of solutions and some inverse problems for PDE, J. Differential Equations 92 (1991), 305–316.
25.Isakov, V., On uniqueness in the inverse conductivity problem with local data, Inverse Probl. Imaging 1 (2007), 95–105.
26.Kane, C., Balents, L. and Fisher, M. P. A., Coulomb interactions and mesoscopic effects in carbon nanotubes, Phys. Rev. Lett. 79 (1997), 5086–5089.
27.Kavian, O., Kian, Y. and Soccorsi, E., Uniqueness and stability results for an inverse spectral problem in a periodic waveguide, J. Math. Pures Appl. (9) 104(6) (2015), 1160–1189.
28.Kenig, C. E. and Salo, M., The Calderón problem with partial data on manifolds and applications, Anal. PDE 6(8) (2013), 2003–2048.
29.Kenig, C. E., Sjöstrand, J. and Uhlmann, G., The Calderon problem with partial data, Ann. of Math. (2) 165 (2007), 567–591.
30.Kian, Y., Stability of the determination of a coefficient for wave equations in an infinite waveguide, Inverse Probl. Imaging 8(3) (2014), 713–732.
31.Kian, Y., Unique determination of a time-dependent potential for wave equations from partial data, Ann. l’IHP (C) Nonlinear Anal. 34 (2017), 973–990.
32.Kian, Y., Recovery of time-dependent damping coefficients and potentials appearing in wave equations from partial data, SIAM J. Math. Anal. 48(6) (2016), 4021–4046.
33.Kian, Y. and Oksanen, L., Recovery of time-dependent coefficient on Riemannian manifold for hyperbolic equations, Int. Math. Res. Not. IMRN, to appear,https://doi.org/10.1093/imrn/rnx263.
34.Kian, Y., Phan, Q. S. and Soccorsi, E., Carleman estimate for infinite cylindrical quantum domains and application to inverse problems, Inverse Problems 30(5) (2014), 055016.
35.Kian, Y., Phan, Q. S. and Soccorsi, E., Hölder stable determination of a quantum scalar potential in unbounded cylindrical domains, J. Math. Anal. Appl. 426(1) (2015), 194–210.
36.Klibanov, M. V., Convexification of restricted Dirichlet-to-Neumann map, J. Inverse Ill-Posed Probl. 25 (2017), 669–685.
37.Krupchyk, K., Lassas, M. and Uhlmann, G., Inverse problems with partial data for a magnetic Schrödinger operator in an infinite slab or bounded domain, Comm. Math. Phys. 312 (2012), 87–126.
38.Li, X., Inverse boundary value problems with partial data in unbounded domains, Inverse Problems 28 (2012), 085003.
39.Li, X., Inverse problem for Schrödinger equations with Yang–Mills potentials in a slab, J. Differential Equations 253 (2012), 694–726.
40.Li, X. and Uhlmann, G., Inverse problems on a slab, Inverse Probl. Imaging 4 (2010), 449–462.
41.Lions, J.-L. and Magenes, E., Non-homogeneous Boundary Value Problems and Applications, vol. I (Dunod, Paris, 1968).
42.Nachman, A. and Street, B., Reconstruction in the Calderón problem with partial data, Commun. Partial Differential Equations 35 (2010), 375–390.
43.Potenciano-Machado, L., Stability estimates for a Magnetic Schrodinger operator with partial data. Preprint, 2016, arXiv:1610.04015.
44.Potenciano-Machado, L., Optimal stability estimates for a Magnetic Schrödinger operator with local data, Inverse Problems 33 (2017), 095001.
45.Salo, M. and Wang, J. N., Complex spherical waves and inverse problems in unbounded domains, Inverse Problems 22 (2006), 2299–2309.
46.Saut, J. C. and Scheurer, B., Sur l’unicité du problème de Cauchy et le prolongement unique pour des équations elliptiques à coefficients non localement bornés, J. Differential Equations 43 (1982), 28–43.
47.Sylvester, J. and Uhlmann, G., A global uniqueness theorem for an inverse boundary value problem, Ann. of Math. (2) 125 (1987), 153–169.
48.Yang, Y., Determining the first order perturbation of a bi-harmonic operator on bounded and unbounded domains from partial data, J. Differential Equations 257 (2014), 3607–3639.