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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{MZM_2006_80_3_a6,
     author = {S. V. Zakharov},
     title = {Heat {Distribution} in an {Infinite} {Rod}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {379--385},
     publisher = {mathdoc},
     volume = {80},
     number = {3},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_80_3_a6/}
}
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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/