Decay estimates for dispersive equations on the lattice graph

Speaker：Jiawei Cheng (Fudan University)

Time：2026-6-9 14:30

Location：Conference Room S306 at Experiment Building at Haiyun Campus

Abstract:

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.