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Sharp Strichartz estimates in spherical coordinates (1612.02594v1)

Published 8 Dec 2016 in math.AP

Abstract: We prove almost Strichartz estimates found after adding regularity in the spherical coordinates for Schr\"odinger-like equations. The estimates are sharp up to endpoints. The proof relies on estimates involving spherical averages. Sharpness is discussed making use of a modified Knapp-type example.

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