A NOTE ON TIME ANALYTICITY FOR ANCIENT SOLUTIONS OF THE HEAT EQUATION

被引：15
|
作者：
Zhang, Qi S. [1 ,2 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[2] Univ Calif Riverside, Dept Math, Riverside, CA 92521 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 148卷 / 04期
关键词：
D O I：
10.1090/proc/14830
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is well known that generic solutions of the heat equation are not analytic in time in general. Here it is proven that ancient solutions with exponential growth are analytic in time in M x (-infinity, 0]. Here M = R-n or is a manifold with Ricci curvature bounded from below. Consequently a necessary and sufficient condition is found on the solvability of the backward heat equation in the class of functions with exponential growth.
引用
收藏
页码：1665 / 1670
页数：6
相关论文
共 50 条
12345