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On an inverse problem for the transport equation. (English. Russian original) Zbl 0337.31003

Sib. Math. J. 16(1975), 329-334 (1976); translation from Sibir. Mat. Zh. 16, 432-439 (1975).

MSC:

31A25 Boundary value and inverse problems for harmonic functions in two dimensions
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References:

[1] A. N. Tikhonov, ?Uniqueness theorems for the heat equation,? Matem. Sb.,42, No. 2, 199-216 (1935).
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[4] M. M. Lavrent’ev, On Some Incorrect Problems of Mathematical Physics [in Russian], Izd. SO AN SSSR, Novosibirsk (1962).
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[9] A. I. Prilepko, ?On inverse problems of potential theory,? Diff. Urav.,3, No. 1, 30-44 (1967). · Zbl 0168.09502
[10] G. I. Marchuk, ?On the statement of some inverse problems,? Dokl. Akad. Nauk SSSR,156, No. 3, 503-506 (1964).
[11] G. I. Marchuk, ?An equation for the value of information with meteorological satellites and the statement of inverse problems,? Cosmic Studies,2, No. 3, 462-477 (1964).
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[13] V. S. Vladimirov, ?On an integro-differential equation,? Izv. Akad. Nauk SSSR. Ser. Mat.21, No. 1, 3-52 (1957). · Zbl 0090.08403
[14] V. S. Vladimirov, Mathematical Problems of the One-Speed Theory of the Transport of Particles [in Russian], Tr. Mat. In. Akad. Nauk SSSR,61 (1961).
[15] S. G. Mikhlin, Multidimensional Singular Integrals and Integral Equations [in Russian], Fizmatgiz, Moscow (1962).
[16] R. Narasimian, Analysis on Real and Complex Manifolds [Russian translation], Mir, Moscow (1971).
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