English

Long-time asymptotics of solutions of the heat equation

Analysis of PDEs 2016-05-05 v1

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.

Keywords

Cite

@article{arxiv.1605.01128,
  title  = {Long-time asymptotics of solutions of the heat equation},
  author = {Sergei V. Zakharov},
  journal= {arXiv preprint arXiv:1605.01128},
  year   = {2016}
}

Comments

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