Decay estimates for dispersive equations on the lattice graph

报告人：程嘉伟（复旦大学）

时  间：2026年6月9日14:30

地  点：海韵园实验楼S306

内容摘要:

In this talk, I will show a method to get time decay rates for the fundamental solutions of dispersive equations on the discrete graph. As in the setting of Euclidean space, it is necessary to deal with the asymptotic behaviour of oscillatory integral with parameters. Newton polyhedra and an algorithm dated back to Karpushkin will be introduced as two important parts in the proof. In a more general sense, our method will focus on obtaining uniform decay estimate for highly degenerate oscillatory integrals. This is based on joint works with Professor Bobo Hua and Cheng Bi from Fudan University.

个人简介：

程嘉伟，2026年于复旦大学数学科学学院获得博士学位，导师为华波波教授。主要研究领域为离散色散方程、调和分析。其研究成果发表在JLMS，Math Z.等知名数学期刊。

联系人：欧剑宇