REFERENCES
Ladyzhenskaya, O.A., Uravneniya matematicheskoi _ziki (Equations of Mathematical Physics), Moscow, 1973.
Henry, D., Geometric Theory of Semilinear Parabolic Equations, Heidelberg: Springer-Verlag, 1981. Translated under the title Geometricheskaya teoriya polulineinykh parabolicheskikh uravnenii, Moscow, 1985.
Fursikov, A.V., Optimal'noe upravlenie raspredelennymi sistemami.Teoriya i prilozheniya (Optimal Control of Distributed Systems. Theory and Applications), Novosibirsk, 1999.
Bobylev, N.A., Emel'yanov, S.V., and Korovin, S.K., Geometricheskie metody v variatsionnykh zadachakh(Geometric Methods in Variational Problems), Moscow, 1998.
Tikhonov, A.N., Leonov, A.S., and Yagola, A.G., Nelineinye nekorrektnye zadachi (Nonlinear Ill-Posed Problems), Moscow, 1995.
Prilepko, A.I., Orlovsky, D.G., and Vasin, I.A., Methods for Solving Inverse Problems in Mathematical Physics, New York; Basel, 2000. DIFFERENTIAL EQUATIONS Vol. 39 No. 12 2003 FREDHOLM PROPERTY OF THE INVERSE SOURCE PROBLEM 1793
Samarskii, A.A. and Vabishchevich, P.N., in Fund.osnovy modelirovaniya (Foundations of Modeling), Moscow, 1997, pp. 5–97.
Isakov, V., Inverse Problems for Partial Differential Equations, New York, 1998.
Prilepko, A.I. and Kostin, A.B., Mat.Sb., 1992, vol. 183, no. 4, pp. 49–68.
Prilepko, A.I. and Solov'ev, V.V., Di_erents.Uravn., 1987, vol. 23, no. 1, pp. 136–143.
Prilepko, A.I. and Tkachenko, D.S., in Ill-Posed and Inverse Problems, Kabanikhin, S.I. and Romanov, V.G., Eds., Utrecht: VSP, 2002, pp. 317–353.
Prilepko, A.I. and Tkachenko, D.S., Zh.Vychislit.Mat.Mat.Fiz., 2003, vol. 43, no. 4, pp. 564–572.
Prilepko, A.I. and Vasin, I.A., Di_erents.Uravn., 1989, vol. 25, no. 1, pp. 106–117.
Vishik, M.I., Mat.Sb., 1956, vol. 39(81), no. 1, pp. 51–148.
Vishik, M.I. and Ladyzhenskaya, O.A., Uspekhi Mat.Nauk, 1956, vol. 11, no. 6(72), pp. 41–97.
Ladyzhenskaya, O.A., Solonnikov, V.A., and Ural'tseva, N.N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa (Linear and Quasilinear Equations of the Parabolic Type), Moscow, 1967.
Ladyzhenskaya, O.A., Mat.Sb., 1958, vol. 45(87), no. 4, pp. 123–158.
Ladyzhenskaya, O.A., Mat.Sb., 1956, vol. 39(81), no. 4, pp. 491–524.
Guseva, O.V., Dokl.Akad.Nauk SSSR, 1955, vol. 102, no. 6, pp. 1069–1072. DIFFERENTIAL EQUATIONS Vol. 39 No. 12 2003
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Prilepko, A.I., Tkachenko, D.S. Fredholm Property of the Inverse Source Problem for Parabolic Systems. Differential Equations 39, 1785–1793 (2003). https://doi.org/10.1023/B:DIEQ.0000023558.94857.3f
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DOI: https://doi.org/10.1023/B:DIEQ.0000023558.94857.3f