Nonnegative solutions of the heat equation in a cylindrical domain and Widder's theorem
Analysis of PDEs
2023-09-07 v2
Abstract
It is shown every nonnegative solution of the heat equation in a bounded cylindrical domain has an integral representation in terms of a trace triple consisting of a bottom trace, a corner trace and a lateral trace on its parabolic boundary. Conversely this trace triple uniquely determines the solution.
Keywords
Cite
@article{arxiv.2210.10954,
title = {Nonnegative solutions of the heat equation in a cylindrical domain and Widder's theorem},
author = {Kin Ming Hui and Kai-Seng Chou},
journal= {arXiv preprint arXiv:2210.10954},
year = {2023}
}
Comments
23 pages, new reference added