中科院数学与系统科学研究院

数学研究所

偏微分方程研讨班

报告人： Tianxiao Huang （School of Mathematics (Zhuhai), Sun Yat-sen University）

题  目：L^2 Carleman estimate for higher order evolution operators

时  间：2021.12.08（星期三），16:00-17:00

地  点：腾讯会议：657 433 049

摘  要：The local L^2 Carleman estimate is hard to prove for a higher order PDO if its symbol has zeros with high multiplicities, and higher order evolution operators are typical examples. I will review the classical theory of Calderon and try to explain what are the difficulties in general. I will also introduce a type of “global” Carleman estimate for higher order evolution operators, and the idea is not solving the difficulties, but to find a way around them. A consequence of this is the “global” unique continuation for these operators.