Geodesic
Ray asymptotics of the Green function for the heat equation with a small parameter
Sbornik. Mathematics, Tome 52 (1985) no. 2, pp. 315-329
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A complete asymptotic expansion in a small parameter is found for the Green function. Bibliography. 4 titles. 
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G. A. Nesenenko; Yu. N. Tyurin. Ray asymptotics of the Green function for the heat equation with a small parameter. Sbornik. Mathematics, Tome 52 (1985) no. 2, pp. 315-329. http://geodesic.mathdoc.fr/item/SM_1985_52_2_a2/

[1] Ladyzhenskaya O. A., Solonnikov V. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967

[2] Lykov A. V., Teoriya teploprovodnosti, Vysshaya shkola, M., 1967 | Zbl

[3] Nesenenko G. A., “Ob asimptotike funktsii Grina uravneniya teploprovodnosti s malym parametrom”, Matem. sb., 87(129) (1972), 204–215. | MR | Zbl

[4] Fedoryuk M. V., Metod perevala, Nauka, M., 1977 | MR