TIME ANALYTICITY FOR THE HEAT EQUATION ON GRADIENT SHRINKING RICCI SOLITONS

被引：0
|
作者：
吴加勇 [1 ]
机构：
[1] Department of Mathematics,Shanghai University
来源：
Acta Mathematica Scientia | 2022年 / 42卷 / 04期
基金：
上海市自然科学基金; 中国国家自然科学基金;
关键词：
D O I：
暂无
中图分类号：
O186.1 [微分几何];
学科分类号：
摘要：
On a complete non-compact gradient shrinking Ricci soliton,we prove the analyticity in time for smooth solutions of the heat equation with quadratic exponential growth in the space variable.This growth condition is sharp.As an application,we give a necessary and sufficient condition on the solvability of the backward heat equation in a class of functions with quadratic exponential growth on shrinkers.
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收藏
页码：1690 / 1700
页数：11
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