Elementary Proofs for Kato Smoothing Estimates of Schrödinger-like Dispersive Equations

Abstract

In this expository note, we prove some extensions and refinements of classical Kato type estimates with elementary techniques.

arXiv commentv2, 5 pages. Added 2 citations. This is an expository note for the talk I am going to give in the student Analysis/PDE seminar at the University of Maryland - College Park Comments are welcomed

Cited by in corpus (3)

• Optimal constants and extremisers for some smoothing estimates
• Classical Proofs Of Kato Type Smoothing Estimates for The Schrödinger Equation with Quadratic Potential in R^n+1 with application
• Optimal forward and reverse estimates of Morawetz and Kato-Yajima type with angular smoothing index