Convexity properties of discrete Schrödinger evolutions
Fernández Bertolin, Aingeru
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Journal of Evolution Equations 20 : 257–278(2020) // https://doi.org/10.1007/s00028-019-00524-6
In this paper, we give log-convexity properties for solutions to discrete Schrödinger equations with different discrete versions of Gaussian decay at two different times. For free evolutions, we use complex analysis arguments to derive these properties, while in a perturbative setting we use a preliminar log-convexity statement in order to conclude our result.