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Heat distribution in an infinite rod
Authors:S. V. Zakharov
Affiliation:(1) Institute of Mathematics and Mechanics, Ural Division of the Russian Academy of Sciences, Ekaterinburg
Abstract: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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