柱形域上热方程的非负解与 Widder 定理
偏微分方程分析
2023-09-07 v2
摘要
证明了有界柱形域上热方程的每个非负解均可由迹三元组（包含其抛物边界上的底迹、角迹与侧迹）通过积分表示。反之，该迹三元组唯一确定此解。
引用
@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}
}
备注
23 pages, new reference added