报告题目 (Title)：与四阶薛定谔算子相关的波算子的Lp估计

报告人 (Speaker)：尧小华 教授（华中师范大学）

报告时间 (Time)：2021年11月17日(周三) 10:00-12:30

报告地点 (Place)：线上腾讯会议，会议 ID：499 208 747

邀请人(Inviter)：赵发友

主办部门：理学院 数学系

报告摘要：In this talk we will consider the L^p-bounds of wave operators associated with fourth order Schr\"odinger operators on R. Under suitable decay condition on V(x) and the assumption of the absence of positive eigenvalues of H, we first proved that the wave operators are bounded on L^p for all 1<p<∞ whatever zero is a regular threshold or resonance. As applications, we can deduce the L^p-estimates of H\"ormander's type spectral multiplier f(H) generated by the fourth order Schr\"odinger operators on R.