The L^p estimates related to Scattering theory

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speaker:Xiaohua Yao,Central China Normal University, Professor

tme:2024.8.301000-1100AM

place:Yifu Building 1537


Abstract:

In this talk, I firstly review some classical results of scattering theory for Schrodinger operator $-\Delta+V$, including limiting absorption principle, the existence and asymptotic complete of wave operators in the context of $L^2$. Secondly, we will talk about recent works on $L^p$ estimates of higher order wave operators generated by $\Delta^m+V$ for $m\ge 2$. These are joint-works with Haruya Mizutani and Zijun Wan.  


    

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