Some L^p problems from scattering theory

Title:Someproblems from scattering theory

Speaker:Xiaohua Yao(Central China Normal University)

Time:Thursday,May9, 2024, 16:00-17:00

Venue:Mingde Building B201-1

Abstract:

Inthis talk, I will first review some classical results of scattering theory for Schrodinger operator,including limiting absorption principle, generalized eigenfunction expansions and the existence of wave operators in the context of. These concepts/operators also havesimilarcounterparts orestimates related with harmonic analysis, including uniform Sobolev estimates of resolvent,bounds of wave operators and so on. Finally, we also address some related-works associated with higher order Schrodinger operators.These are adjoint-works with Haruya Mizutani and Zijun Wan.

About the Speaker：

尧小华，华中师范大学数学与统计学院教授、博士生导师， 2010年入选教育部新世纪人才计划。 主要从事调和分析与 微分算子的研究，在色散方程、 微分算子及函数空间等方 向上开展研究工作；主要学术成果发表在“Comm. Math. Phys.”、“Trans. AMS”、“Inter. Math. Res.Notices”、“J. Functional Analysis”、“Comm.Partial Differential equation” 等国际重要数学期刊上；连续主持多项国家自然科学基金 面上项目，也曾主持教育部科学技术研究重点项目及新世 纪优秀人才计划等多个科研项目；作为核心成员参与了华 中师范大学教育部创新团队（偏微分方程）建设。

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