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.
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     author = {S. V. Zakharov},
     title = {Heat {Distribution} in an {Infinite} {Rod}},
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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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