Year: 2025
Type: preprint
Abstract: We prove a dispersive estimate for periodic discrete Schrödinger operators on the line with optimal rate of decay. Additionally, by standard methods, we deduce dispersive estimates for the discrete nonlinear Schrödinger equation with small initial data and suitable nonlinearity when the underlying Hamiltonian is periodic.
Source: arXiv (Cornell University)
Authors: Damanik, David, Fillman, Jake, Young, Giorgio
Institutions: Rice University, Texas A&M University, University of Michigan
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4415023999
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