Geodesic
The existence of a solution of an ill-posed problem is equivalent to the convergence of a regularization process
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 23 (1968) no. 3 
V. P. Maslov. The existence of a solution of an ill-posed problem is equivalent to the convergence of a regularization process. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 23 (1968) no. 3. http://geodesic.mathdoc.fr/item/RM_1968_23_3_a13/
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[1] M. M. Lavrentev, O nekotorykh nekorrektnykh zadachakh matematicheskoi fiziki, Novosibirsk, 1962 | MR

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[3] A. N. Tikhonov, “O regulyarizatsii nekorrektno postavlennykh zadach”, DAN, 153:3 (1963), 49 | Zbl

[4] A. N. Tikhonov, V. B. Glasko, “O priblizhennom reshenii integralnykh uravnenii Fredgolma pervogo roda”, Zhurn. vychislit. matem. i matem. fiz., 4:2 (1964), 564 | MR | Zbl

[5] V. P. Maslov, Teoriya vozmuschenii i asimptoticheskie metody, M., 1965

[6] V. P. Maslov, “O regulyarizatsii nekorrektnykh zadach dlya singulyarnykh integralnykh uravnenii”, DAN, 176:5 (1967), 1012 | MR | Zbl