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math.AP2024
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 for which was extended to in \cite{BCH23}. By Newton polyhedra…
math.AP2024
The fourth-order Schrödinger equation on lattices
Jiawei Cheng
In this paper, we study the fourth-order Schrödinger equation \begin{equation*} i \partial_t u + Δ^2 u - γΔu = \pm |u|^{s-1}u \end{equation*} on the lattice with dim…