Stabilization of the Schrödinger equation with a delay term in boundary feedback or internal feedback

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Abstract
In this paper, we investigate the eect of time delays in boundary or internal feedback stabilization of the multidimensional Schrodinger equation. In both cases, under suitable as- sumptions, we establish sucient conditions on the delay term that guarantee the exponential stability of the solution. These results are obtained by using suitable energy functionals and some observability estimates.