4 papers · 1 filter
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 locali…
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…
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…
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…