We investigate L1 → L∞ dispersive estimates for the Schrödinger equation iut - δu+Vu=0 in odd dimensions greater than three. We obtain dispersive estimates under the optimal smoothness condition for the potential, V ∈ C (n-3)/2(ℝn), in dimensions five and seven. We also describe a method to extend this result to arbitrary odd dimensions.
|Original language||English (US)|
|Number of pages||34|
|Journal||International Mathematics Research Notices|
|State||Published - Dec 2010|
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