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.
作者
吴加勇
Jiayong WU(Department of Mathematics,Shanghai University,Shanghai200444,China)
基金
partially supported by the National Natural Science Foundation of China(11671141)
the Natural Science Foundation of Shanghai(17ZR1412800)。
