Geodesic
On the asymptotic expansion of Green's function for the heat conduction equation with small parameter
Sbornik. Mathematics, Tome 16 (1972) no. 2, pp. 209-221

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This work is devoted to an investigation of the asymptotic expansion for $\alpha\to0$ of Green's function $\Gamma(x,t;x_0)$ for the first boundary value problem for the equation $\Gamma_t(x,t;x_0)=\alpha^2\Gamma_{xx}(x,t;x_0)$ for the case of a moving boundary. The asymptotic expansion is obtained by means of a modification of the method of heat potentials. Bibliography: 5 titles. 
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     author = {G. A. Nesenenko},
     title = {On the asymptotic expansion of {Green's} function for the heat conduction equation with small parameter},
     journal = {Sbornik. Mathematics},
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     volume = {16},
     number = {2},
     year = {1972},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1972_16_2_a4/}
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G. A. Nesenenko. On the asymptotic expansion of Green's function for the heat conduction equation with small parameter. Sbornik. Mathematics, Tome 16 (1972) no. 2, pp. 209-221. http://geodesic.mathdoc.fr/item/SM_1972_16_2_a4/