报告题目:格点图上色散方程的衰减估计(Decay estimates for dispersive equations on the lattice graph)
时 间:2026年06月11日(星期四)14:00
地 点:科研楼18号楼1102
主 办:数学与统计学院,分析数学及应用教育部重点实验室,分析数学及应用福建省重点实验室
参加对象:相关专业师生
报告摘要: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.
报告人简介: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。
