Uniform complex time heat kernel estimates for fractional Schrödinger operators

讲座时间 Datetime: 

星期二, 2021/01/12 - 从 15:00 到 16:30

地点 Venue: 

海琴2号A457会议室

报告人 Speaker: 

郑权 教授

单位 Affiliation: 

华中科技大学

报告摘要 Abstract: 

We consider the uniform complex time heat kernel estimates for the analytic semigroup generated by  for . It is well known that the asymptotic behaviors of the heat kernels are different between real time and purely imaginary time, thus it is of interest to know how the heat kernel changes as the time turns from real axis to the imaginary axis. Our first result gives an explicit answer to this question, which also generalizes the previous results of Wainger, Miyachi et al. Then we prove the uniform complex time heat kernel estimates. Finally we also show the uniform estimates of the analytic semigroup generated by  there  belongs to the higher order Kato class. This is a joint work with Shiliang Zhao.