报告题目：The decay estimates of higher order elliptic operator
报 告 人：尧小华（华中师范大学 教授）
会议时间：2022/12/2 10:00开始
会议地点：腾讯会议号138-934-483
报告摘要：It was well-known that the L^p decay estimates of Schrodinger operators widely studied play important roles in the well-posedness of nonlinear dispersive equations and the long time (asymptotic) stability of solitary waves. In this talk, I will review some recent works on the time decay estimates of the higher order elliptic operators (poly-harmonic type) with the decay potentials. The main techniques based on the detailed analysis of free resolvent and spectral perturbation, where the classifications of zero resonances and zero asymptotic expansions of resolvent are the most important parts, which are indispensable to establish all kinds of dispersive results with general potentials.
报告人简介：尧小华，华中师范大学博彩导航
教授、博士生导师，2010年入选教育部新世纪人才计划。 目前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. Anal.” “Siam J. Appl. Math.”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， 并主持过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。
