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Dispersive estimates for the Schrödinger equation in dimensions four and five
We prove optimal (that is, without loss of derivatives) dispersive estimates for the Schrodinger group e it(−�+V ) for a class of real-valued potentials V ∈ C k (R n ), V (x) = O(h xi −δ ), where n = 4,5, k > (n − 3)/2, δ > 3 …