Sharp dispersive estimates for the wave equation on the 5-dimensional lattice graph

Cheng Bi, Jiawei Cheng, Bobo Hua

Schultz \cite{S98} proved dispersive estimates for the wave equation on lattice graphs ${\mathbb{Z}}^d$ for $d=2,3,$ which was extended to $d=4$ in \cite{BCH23}. By Newton polyhedra…