Geodesic
Heat Distribution in an Infinite Rod
Matematičeskie zametki, Tome 80 (2006) no. 3, pp. 379-385

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We construct an asymptotic expansion of the solution of the Cauchy problem for the one-dimensional heat equation for the case in which the initial function at infinity has power asymptotics.
Keywords: heat equation, Cauchy problem for the heat equation, heat distribution in an infinite rod, uniform asymptotics, Hermite function. 
S. V. Zakharov. Heat Distribution in an Infinite Rod. Matematičeskie zametki, Tome 80 (2006) no. 3, pp. 379-385. http://geodesic.mathdoc.fr/item/MZM_2006_80_3_a6/
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     title = {Heat {Distribution} in an {Infinite} {Rod}},
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