References
- Lavrent'ev, MM, Romanov, VG, and Shishatskii, SP, 1986. "Ill-posed Problems of Mathematical Physics and Analysis". In: Translations of Mathematical Monographs. Vol. 64. Providence, RI: American Mathematical Society; 1986.
- Tikhonov, AN, and Arsenin, VY, 1977. Solutions of Ill-posed Problems. Washington, DC: Winston; 1977.
- Gorenflo, R, 1965. Funktionentheoretische bestimmung des aussenfeldes zu einer zweidimensionalen magnetohydrostatischen konfiguration, Z. Angew. Math. Phys. 16 (1965), pp. 279–290.
- Colli-Franzone, P, and Magenes, E, 1980. On the inverse potential problem of electrocardiology, Calcolo 16 (4) (1980), pp. 459–538.
- Johnson, CR, 1997. Computational and numerical methods for bioelectric field problems, Crit. Rev. Biomed. Eng. 25 (1997), pp. 1–81.
- Alessandrini, G, 1993. Stable determination of a crack from boundary measurements, Proc. R. Soc. Edinb. A 123 (1993), pp. 497–516.
- Hadamard, J, 1953. Lectures on Cauchy's Problem in Linear Partial Differential Equations. New York: Dover; 1953.
- Hon, YC, and Wei, T, 2001. Backus-Gilbert algorithm for the Cauchy problem of the Laplace equation, Inverse Probl. 17 (2) (2001), pp. 261–271.
- Qiu, CY, and Fu, CL, 2008. Wavelets and regularization of the Cauchy problem for the Laplace equation, J. Math. Anal. Appl. 338 (2) (2008), pp. 1440–1447.
- Bourgeois, L, 2006. Convergence rates for the quasi-reversibility method to solve the Cauchy problem for Laplace's equation, Inverse Probl. 22 (2) (2006), pp. 413–430.
- Fu, CL, Li, HF, Qian, Z, and Xiong, XT, 2008. Fourier regularization method for solving a Cauchy problem for the Laplace equation, Inverse Probl. Sci. Eng. 16 (2) (2008), pp. 159–169.
- Ang, DD, Nghia, NH, and Tam, NC, 1998. Regularized solutions of a Cauchy problem for the Laplace equation in an irregular layer: A three-dimensional model, Acta Math. Vietnam. 23 (1) (1998), pp. 65–74.
- Murio, DA, 1993. The Mollification Method and the Numerical Solution of Ill-posed Problems. New York: John Wiley and Sons; 1993.
- Hào, DN, Hien, PM, and Sahli, H, 2007. Stability results for a Cauchy problem for an elliptic equation, Inverse Probl. 23 (1) (2007), pp. 421–461.
- Tautanhahn, U, 1998. Optimality for ill-posed problems under general source conditions, Numer. Funct. Anal. Optimiz. 19 (1998), pp. 377–398.