TIME ANALYTICITY FOR THE HEAT EQUATION ON GRADIENT SHRINKING RICCI SOLITONS

作     者：吴加勇 Jiayong WU

作者机构：Department of MathematicsShanghai UniversityShanghai200444China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2022年第42卷第4期

页      面：1690-1700页

核心收录：

学科分类：07[理学] 0701[理学-数学] 

基　　金：partially supported by the National Natural Science Foundation of China(11671141) the Natural Science Foundation of Shanghai(17ZR1412800)。 

主　　题：Gradient shrinking Ricci soliton heat equation time analyticity 

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.