2 papers
math.AP2025
Scattering theory of the nonlinear wave equations on lattices
Jiajun Wang
In this paper, I will summarize the uniform decay estimates of the discrete wave equations (DW) established by the oscillatory integral theory in [Sch98, BCH23, BCH24], and combine…
math.AP2024
The well-posedness and scattering theory of nonlinear Schrödinger equations on lattice graphs
Jiajun Wang
In this paper, we introduce a novel first-order derivative for functions on a lattice graph, which extends the discrete Laplacian and generalizes the theory of discrete PDEs on lat…