报告题目:Decay estimates of higher order elliptic operators with potentials
报告人:尧小华教授 (华中师范大学)
报告时间:2020年7月17日 (星期五)下午3:00-4:00
腾讯会议 ID:579 892 267 密码:200717
报告摘要:In this talk, I will report some progress on the decay estimates and related problems for the higher-order elliptic operators H=(-\Delta)^{m}+V(x) in R}^{n} for n>2m and m\ge 2. We mainly talk about Kato-Jensen type decay estimates for higher order group e^{-itH} in the presence of zero resonance or zero eigenvalue. Among them, the endpoint Strichartz estimate and L^{p}-decay estimates can also be mentioned. Our methods heavily depend on the asymptotic expansions of resolvent R_{V}(z) near zero threshold in the presence of zero resonance or zero eigenvalue.
报告人简介:尧小华,华中师范大学数学与统计学院教授、博士生导师;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”、Siam J. Math. Appl.等国际数学期刊上;主持过国家自然科学基金面上项目、教育部科学技术研究重点项目以及新世纪优秀人才计划等多个科研项目。