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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.AP2023
The Wave Equation on Lattices and Oscillatory Integrals
Cheng Bi, Jiawei Cheng, Bobo Hua
In this paper, we establish sharp dispersive estimates for the linear wave equation on the lattice with dimension . Combining the singularity theory with result…