Uniqueness for the Schrödinger Equation on Graphs with Potential Vanishing at Infinity

Fuente: arXiv
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Autores principales: Punzo, Fabio, Svagna, Marcello
Formato: Preprint
Publicado: 2024
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author Punzo, Fabio
Svagna, Marcello
author_facet Punzo, Fabio
Svagna, Marcello
contents We investigate the uniqueness, in suitable weighted $\ell^p$ spaces, of solutions to the Schrödinger equation with a potential, posed on infinite graphs. The potential can tend to zero at infinite with a certain rate.
format Preprint
id arxiv_https___arxiv_org_abs_2407_05757
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Uniqueness for the Schrödinger Equation on Graphs with Potential Vanishing at Infinity
Punzo, Fabio
Svagna, Marcello
Analysis of PDEs
35A01, 35A02, 35B53, 35J05, 35R02
We investigate the uniqueness, in suitable weighted $\ell^p$ spaces, of solutions to the Schrödinger equation with a potential, posed on infinite graphs. The potential can tend to zero at infinite with a certain rate.
title Uniqueness for the Schrödinger Equation on Graphs with Potential Vanishing at Infinity
topic Analysis of PDEs
35A01, 35A02, 35B53, 35J05, 35R02
url https://arxiv.org/abs/2407.05757