154.com皇冠学术报告
--- 分析与偏微分方程讨论班(2023春季第11讲)
Extremals for Fourier extension type inequalities on fractional surfaces
邸博宁
(中国科学院大学)
时间与地点:2023年6月20日(周二)10:00-11:00 沙河主楼E502
摘要: Fourier extension type inequalities (Strichartz type inequalities) are dual forms of Fourier restriction type inequalities. In this talk, I will present some recent results on the fractional surface (xi, |xi|^α) cases, which correspond to the fractional Schrödinger equations in PDE. Our proofs mainly rely on the profile decomposition argument, bilinear restriction theory, and missing mass method. These are based on joint works with professor Dunyan Yan.
报告人简介: 邸博宁,中国科学院大学博士,2021-2022年到堪萨斯大学联合培养,2023年7月即将到中科院数学所从事博士后研究。主要研究方向为调和分析,特别是Fourier限制性不等式中的最佳常数和极值函数等性质,相关论文发表于J. Geom. Anal等期刊。
邀请人: 张安
欢迎大家参加!