Abstract
We prove optimal dispersive estimates at high frequency for the Schrodinger group for a class of real-valued potentials V (x) = O(� x� −δ ), δ>n − 1, and V ∈ C k (R n ), k>k n ,w heren 4a nd n−3 2 kn < n 2 . We also give a sufficient condition in terms of L 1 → L ∞ bounds for the formal iterations of Duhamel's formula, which might be satisfied for potentials
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