When does the heat equation have a solution with a sequence of similar level sets?
Analysis of PDEs
2014-06-20 v2
Abstract
In this paper we consider the overdetermined Cauchy problem for the heat equation. We prove that if the problem has a nontrivial nonnegative solution with a certain sequence of similar level sets, then the solution must be radially symmetric.
Keywords
Cite
@article{arxiv.1403.6203,
title = {When does the heat equation have a solution with a sequence of similar level sets?},
author = {Tatsuki Kawakami and Shigeru Sakaguchi},
journal= {arXiv preprint arXiv:1403.6203},
year = {2014}
}