Uniqueness for the Schrödinger equation on graphs with potential vanishing at infinity
Abstract
Abstract We study the uniqueness of solutions to the stationary Schrödinger equation with potential on infinite graphs, within suitable weighted $$\ell ^p$$ ℓ p spaces. The potential is allowed to vanish at infinity at a controlled rate. Our results extend those in [20] by considering a broader class of potentials, by removing the assumption that the potential is bounded away from zero.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Advanced Mathematical Physics Problems
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Nonlinear Differential Equations and Applications NoDEA
- Volume
- 33
- Issue
- 2
- Publication date
- 28 January 2026
- Language
- EN