Uniqueness in weighted 𝑙^{𝑝} spaces for the Schrödinger equation on infinite graphs

Meglioli, Giulia; Punzo, Fabio

doi:10.1090/proc/17178

Uniqueness in weighted $l^p$ spaces for the Schrödinger equation on infinite graphs
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by Giulia Meglioli and Fabio Punzo;

Proc. Amer. Math. Soc. 153 (2025), 1519-1537

DOI: https://doi.org/10.1090/proc/17178

Published electronically: February 10, 2025

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Abstract:

We investigate uniqueness of solutions to Schrödinger-type elliptic equations posed on infinite graphs. Solutions are assumed to belong to suitable weighted $\ell ^p$ spaces where $p\geq 1$ and the weight is related to both the potential and $p$.

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Uniqueness in weighted $l^p$ spaces for the Schrödinger equation on infinite graphs
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Abstract: