Work

Uniqueness for the Schrödinger equation on graphs with potential vanishing at infinity

Year: 2026

Type: article

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.

Source: Nonlinear Differential Equations and Applications NoDEA

DOI: 10.1007/s00030-026-01186-3

Authors: Fabio Punzo, Marcello Svagna

Institution: Politecnico di Milano

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Politecnico di Milano