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math.AP2025
Continuum limit of fourth-order Schrödinger equations on the lattice
Jiawei Cheng, Bobo Hua
In this paper, we consider the discrete fourth-order Schrödinger equation on the lattice . Uniform Strichartz estimates are established by analyzing frequency local…
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…