报告题目:Extremals for Fourier extension type inequalities to fractional surfaces
报告人:邸博宁 博士
工作单位:中国科学院数学所
报告时间:2024年05月22日 17:00-18:00
报告地点:永利体育官网登录 305
报告摘要:
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,师从燕敦验教授,研究方向为调和分析与偏微分方程,现为中国科学院数学所博士后。当前关注于Fourier限制性不等式中的最佳常数和极值函数等相关问题研究,相关论文发表于J. Geom. Anal等期刊。
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