Sharp Strichartz estimates in spherical coordinates

Abstract

We prove almost Strichartz estimates found after adding regularity in the spherical coordinates for Schrödinger-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.

5 pages, Submitted

References in corpus (2)

• Generalized and weighted Strichartz estimates
• Angular Regularity and Strichartz Estimates for the Wave Equation