欢迎光临!
您现在所在的位置:首页 >> 通知公告 & 学术信息
学术信息
SEMINARS
A few properties of global solutions of the heat equation on Euclidean space and some manifolds
时间  Datetime
2019-09-19 15:00 — 16:00 
地点  Venue
Middle Lecture Room(703)
报告人  Speaker
Prof. Qi S. Zhang
单位  Affiliation
Department of Mathematics, UC, Riverside
邀请人  Host
yihu yang
报告摘要  Abstract

We report some recent results on Martin type representation formulas for ancient solutions of the heat equation and dimension estimates of the space of these solutions under some growth assumptions.

We will also present a new observation on the time analyticity of solutions of the heat equation under natural growth conditions. One application is a if and only if solvability condition of  the backward heat equation, i.e. under what condition can one turn back the clock in a diffusion process.

Part of the results are joint work with Fanghua Lin and Hongjie Dong.