报告人：李平 副教授

时 间：2024-10-24 14:30:00

地 点：理科楼L2620

报告摘要：In this paper, we are mainly devoted to investigating the Lp boundedness of wave operators $W_\pm$ associated with high-order Schrödinger operators $H=(-\Delta)^m+V(x)$ with $m \geq 3$ in dimension one when zero is a regular point. Under a suitable decay condition on potential V, we established a general conclusion covering the already known results for the cases $m=1,2$ by a unified method. Specifically, our results are twofold: for the non-endpoint case, we have obtained that $W_\pm \in B(L^p(w_p))$ for any $1< p< \infty$, $w_p\in A_p$; and for the endpoint situation, $W_\pm\in B(H^1(R)$, $L^1(R)\bigcap B(L^\infty, BMO(R)))$ and if suppV is compact $W_\pm\notin B(L^1(R))$, but $W_\pm\notin B(L^1(R))$, and generally $W_\pm\notin B(L^\infty(R))$. This work is joint with S. Chen,S. Huang and X. Yao.