Pointwise convergence of the fractional Schr\"odinger equation in $\mathbb R^2$

Chu-Hee Cho; Hyerim Ko

REVIEW

Pointwise convergence of the fractional Schr\"odinger equation in mathbb R²

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1809.03246 v3 pith:DIJNOIXE submitted 2018-09-10 math.AP

Pointwise convergence of the fractional Schr\"odinger equation in mathbb R²

Chu-hee Cho , Hyerim Ko This is my paper

classification math.AP

keywords mathbbestimatesconvergenceequationfractionalobtainedodingerpointwise

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

We investigate the pointwise convergence of the solution to the fractional Schr\"odinger equation in $\mathbb R^2$. By establishing $H^s(\mathbb R^2)-L^3(\mathbb R^2)$ estimates for the associated maximal operator provided that $s>1/3$, we improve the previous result obtained by Miao, Yang, and Zheng. Our estimates extend the refined Strichartz estimates obtained by Du, Guth, and Li to a general class of elliptic functions.

Pointwise convergence of the fractional Schr\"odinger equation in mathbb R²

discussion (0)