中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
华罗庚青年数学论坛
学术报告
报告人： 李林涵 博士（University of Minnesota）
题 目：The Dirichlet problem for elliptic operators with BMO antisymmetric part
时 间：2022.07.20（星期三），09:30-11:30
地 点：腾讯会议：285-168-644
摘 要：In this talk, we shall show the well-posedness of $L^p$ Dirichlet problem on the upper-half space for elliptic operators with non-smooth coefficients that have a BMO antisymmetric part. In particular, the coefficients of the operator are not necessarily bounded. Our method relies on kernel estimates and off-diagonal estimates for the semigourp $e^{-tL}$, solution to the Kato problem, and various estimates for the Hardy norms of certain commutators. This is based on joint work with S. Hofmann, S. Mayboroda, and J. Pipher.