Geodesic
The basis for an operational method of solving certain problems in mathematical physics
Matematičeskie zametki, Tome 13 (1973) no. 1, pp. 125-134

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In this paper we obtain sufficient conditions for the applicability of an operational method for solving a mixed problem for an equation of parabolic type with discontinuous coefficients. 
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     title = {The basis for an operational method of solving certain problems in mathematical physics},
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L. F. Karaul'naya. The basis for an operational method of solving certain problems in mathematical physics. Matematičeskie zametki, Tome 13 (1973) no. 1, pp. 125-134. http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a15/