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Literature Cited
N. Ya. Beznoshchenko, “Sufficient conditions for the existence of a solution of problems for determination of coefficients of the highest derivatives of a parabolic equation,” Differents. Urav.,19, No. 11, 1908–1915 (1983).
V. M. Isakov, “On a class of inverse problems for parabolic equations,” Dokl. Akad. Nauk SSSR,263, No. 6, 356–359 (1982).
A. D. Iskanderov, “Inverse problems for parabolic and elliptic equations,” Author's Abstract of Candidate's Dissertation, Phys.-Math. Sciences, Moscow State Univ., Moscow (1978).
A. I. Prilenko, “Inverse problems of potential theory,” Mat. Zametki,14, No. 5, 755–765 (1973).
M. M. Lavent'ev, V. G. Romanov, and S. P. Shishatskii, Ill-Posed Problems of Mathematical Physics and Analysis [in Russian], Nauka, Moscow (1980).
Theory and Methods of Solution of Ill-Posed Problems and Their Application [in Russian], Thesis Report, All-Union School Seminar, Samarkand (1983), Computing Center, Academy of Sciences of the USSR, Siberian Branch, Novosibirsk (1983).
A. Khaidarov, “On the existence of a solution of an inverse problem for an elliptic equation,” in: Methods for Solving Inverse Problems [in Russian], Computing Center, Academy of Sciences of the USSR, Siberian Branch, Novosibirsk (1983), pp. 126–131.
A. Khaidarov, “On an inverse problem for elliptic equations,” in: Some Problems of Mathematical Physics and Analysis [in Russian], Nauk, Novosibirsk (1984), pp. 245–249.
A. Khaidarov, “A class of inverse problems for elliptic equations,” Dokl. Akad. Nauk SSSR,277, No. 6, 1335–1338 (1984).
S. Agmon, A. Douglis, and L. Nirenberg, “Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions,” Commun. Pure Appl. Math.,12, 623–727 (1959).
L. Bers, F. John, and M. Schechter, Partial Differential Equations, Proceedings of the Summer Seminar, Boulder, Colorado, 1957, Lectures in Applied Mathematics, Vol. III, Interscience Publishers, New York (1964).
O. A. Ladyzhenskaya and N. N. Ural'tseva, Linear and Quasilinear Equations of Elliptic Type [in Russian], Nauka, Moscow (1973).
P. S. Novikov, “On the uniqueness of a solution of an inverse problem of the potential, Dokl. Akad. Nauk SSSR,18, No. 3, 165–168 (1938).
E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Math. Series, No. 30, Princeton Univ. Press, Princeton (1970).
M. V. Keldysh, “On solvability and stability of a Dirichlet problem,” Usp. Mat. Nauk,8, 171–295 (1940).
A. De la Pradelle, “Approximation et caractère de quasianalyticité dans la theorie axiomatique des fonctions harmoniques,” Ann. Inst. Fourier,17, 383–399 (1967).
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Samarkand. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 4, pp. 149–159, July–August, 1990.
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Khaidarov, A. A class of inverse problems for elliptic equations. Sib Math J 31, 657–666 (1990). https://doi.org/10.1007/BF00970638
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DOI: https://doi.org/10.1007/BF00970638