TIME ANALYTICITY FOR THE HEAT EQUATION ON GRADIENT SHRINKING RICCI SOLITONS  

作　　者：Jiayong WU 吴加勇(Department of Mathematics,Shanghai University,Shanghai200444,China)

机构地区：[1]Department of Mathematics,Shanghai University,Shanghai200444,China

出　　处：《Acta Mathematica Scientia》2022年第4期1690-1700,共11页数学物理学报（B辑英文版）

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

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.

关 键 词：Gradient shrinking Ricci soliton heat equation time analyticity 

分 类 号：O186.1[理学—数学]