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Uniqueness for the Schr\"odinger Equation on Graphs with Potential Vanishing at Infinity

Uniqueness for the Schr\"odinger Equation on Graphs with Potential Vanishing at Infinity

We investigate the uniqueness, in suitable weighted $\ell^p$ spaces, of solutions to the Schr\"odinger equation with a potential, posed on infinite graphs. The potential can tend to zero at infinite with a certain rate.