A note on local smoothing estimates for fractional Schr\"{o}dinger equations

TL;DR

This paper improves local smoothing estimates for fractional Schrödinger equations across a range of fractional orders, enhancing understanding of their regularity properties.

Contribution

It provides new bounds for local smoothing estimates specifically for fractional Schrödinger equations with orders in (0,1) and (1,∞).

Findings

Enhanced local smoothing estimates for fractional Schrödinger equations.

Applicable to fractional orders in (0,1) and (1,∞).

Contributes to the mathematical understanding of fractional PDE regularity.

Abstract

We improve local smoothing estimates for fractional Schr\"{o}dinger equations for $\alpha \in (0,1) \cup (1,\infty)$.