References
A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics, 4th ed. (Nauka, Moscow, 1972; Pergamon, Oxford, 1964).
V. S. Vladimirov, Equations of Mathematical Physics (Nauka, Moscow, 1988; Marcel Dekker, New York, 1971).
S. G. Mikhlin, Linear Equations of Mathematical Physics (Nauka, Moscow, 1964; Holt, Rinehart and Winston, New York, 1967).
G. N. Polozhii, Equations of Mathematical Physics (Vysshaya Shkola, Moscow, 1964).
H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids (Clarendon, Oxford, 1959; Nauka, Moscow, 1964).
A. V. Lykov, Theory of Heat Conductivity (Vysshaya Shkola, Moscow, 1967).
Mathematical Encyclopedia (Sov. Éntsiklopediya, Moscow, 1977), Vol. 1, p. 1130.
A. D. Polyanin, A. V. Vyaz’min, A. I. Zhurov, and D. A. Kazenin, Handbook for Exact Solutions of Heat-and Mass-Transfer Equations (Faktorial, Moscow, 1998).
V. F. Zaitsev and A. D. Polyanin, Handbook on Partial Differential Equations: Exact Solutions (Mezhdunarodnaya Progr. Obrazovaniya, Moscow, 1996).
A. G. Butkovskii, Green’s Functions and Transfer Functions Handbook (Nauka, Moscow, 1979; Horwood, Chichester, England, 1982).
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Translated from Doklady Akademii Nauk, Vol. 375, No. 4, 2000, pp. 476–480.
Original Russian Text Copyright © 2000 by Polyanin.
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Polyanin, A.D. Partial separation of variables in unsteady problems of mechanics and mathematical physics. Dokl. Phys. 45, 680–684 (2000). https://doi.org/10.1134/1.1342449
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DOI: https://doi.org/10.1134/1.1342449