References
- Alessandrini G, de Hoop MV, Gaburro R, et al. Lipschitz stability for a piecewise linear Schrödinger potential from local Cauchy data. Asymptotic Anal. 2018;108:115–149. doi: https://doi.org/10.3233/ASY-171457
- Alessandrini G. Singular solutions of elliptic equations and the determination of conductivity by boundary measurements. J Diff Equ. 1990;84(2):252–272. doi: https://doi.org/10.1016/0022-0396(90)90078-4
- Brown RM. Recovering the conductivity at the boundary from the Dirichlet to Neumann map: a pointwise result. J Inverse Ill-Posed Probl. 2001;9(6):567–574. doi: https://doi.org/10.1515/jiip.2001.9.6.567
- Sylvester J, Uhlmann G. Inverse boundary value problems at the boundary – continuous dependence. Comm Pure Appl Math. 1988;41(2):197–219. doi: https://doi.org/10.1002/cpa.3160410205
- Rüland A, Salo M. Quantitative Runge approximation and inverse problems. Int Math Res Notices. 2018;2019(20):6216–6234. doi: https://doi.org/10.1093/imrn/rnx301
- Alessandrini G, Vessella S. Lipschitz stability for the inverse conductivity problem. Adv Appl Math. 2005;35(2):207–241. doi: https://doi.org/10.1016/j.aam.2004.12.002
- Gebauer B. Localized potentials in electrical impedance tomography. Inverse Probl Imaging. 2008;2(2):251–269. doi: https://doi.org/10.3934/ipi.2008.2.251
- Harrach B, Pohjola V, Salo M. Monotonicity and local uniqueness for the Helmholtz equation. arXiv preprint arXiv:1709.08756, 2017.
- Alessandrini G, Rondi L, Rosset E, et al. The stability for the Cauchy problem for elliptic equations. Inverse Probl. 2009;25(12):123004. doi: https://doi.org/10.1088/0266-5611/25/12/123004
- Alberti GS, Santacesaria M. Calderón's inverse problem with a finite number of measurements. In: Forum of Mathematics, Sigma. Vol. 7; e35, 2019. DOI:https://doi.org/10.1017/fms.2019.31.
- Alessandrini G, de Hoop MV, Gaburro R, et al. Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities. J Math Pures App. 2016;107:638–664. doi: https://doi.org/10.1016/j.matpur.2016.10.001
- Beretta E, de Hoop MV, Qiu L. Lipschitz stability of an inverse boundary value problem for a Schrödinger-type equation. SIAM J Math Anal. 2013;45(2):679–699. doi: https://doi.org/10.1137/120869201
- Beretta E, Francini E. Lipschitz stability for the electrical impedance tomography problem: the complex case. Comm Partial Differ Equ. 2011;36:1723–1749. doi: https://doi.org/10.1080/03605302.2011.552930
- Gaburro R, Sincich E. Lipschitz stability for the inverse conductivity problem for a conformal class of anisotropic conductivities. Inverse Probl. 2015;31(1):015008. doi: https://doi.org/10.1088/0266-5611/31/1/015008
- Harrach B. Uniqueness and Lipschitz stability in electrical impedance tomography with finitely many electrodes. Inverse Probl. 2019;35(2):024005. doi: https://doi.org/10.1088/1361-6420/aaf6fc
- Harrach B. Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem. arXiv preprint arXiv:1907.02759, 2019.
- Bacchelli V, Vessella S. Lipschitz stability for a stationary 2D inverse problem with unknown polygonal boundary. Inverse Probl. 2006;22(5):1627. doi: https://doi.org/10.1088/0266-5611/22/5/007
- Beretta E, de Hoop MV. Elisa Francini and Sergio Vessella: stable determination of polyhedral interfaces from boundary data for the Helmholtz equation. Commun Partial Diff Equ. 2015;40(7):1365–1392. doi: https://doi.org/10.1080/03605302.2015.1007379
- Beretta E, de Hoop MV, Francini E, et al. Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves. Inverse Probl. 2017;33(3):035013.
- Rüland A, Sincich E. Lipschitz stability for the finite dimensional fractional Calderón problem with finite Cauchy data. Inverse Probl Imaging. 2018;13:1023–1044. doi: https://doi.org/10.3934/ipi.2019046
- Lions JL, Magenes E. Non-homogeneous boundary value problems and applications. Vol. 1. Die Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Vol. 181. New York: Springer-Verlag; 1972. Translated from French by P. Kenneth, MR0350177 (50 #2670).
- Babuška I, Výborný R. Continuous dependence of eigenvalues on the domain. Czech Math J. 1965;15(2):169–178.
- Fuglede B. Continuous domain dependence of the eigenvalues of the Dirichlet Laplacian and related operators in Hilbert space. J Funct Anal. 1999;167(1):183–200. doi: https://doi.org/10.1006/jfan.1999.3442
- Bamberger A, Ha Duong T. Diffraction d'une onde acoustique par une paroi absorbante: Nouvelles equations integrales. Math Methods Appl Sci. 1987;9:431–454. doi: https://doi.org/10.1002/mma.1670090131
- Alessandrini G, Kim K. Single-logarithmic stability for the Calderón problem with local data. J Inverse Ill-Posed Prob. 2012;20(4):389–400. doi: https://doi.org/10.1515/jip-2012-0014