paper

Long-time asymptotics of solutions of the heat equation

arXiv:1605.01128

Abstract

The long-time asymptotics of solutions of the Cauchy problem for the heat equation are constructed in the case when the initial function at infinity has power asymptotics.

arXiv commentKeywords: heat equation, Cauchy problem, long-time asymptotics, Hermite functions. 10 pages