Lp estimates of the maximal Schrödinger operator in Rn

Xiumin Du; Jianhui Li

doi:10.1016/j.jfa.2024.110737

L^p estimates of the maximal Schrödinger operator in Rⁿ

Xiumin Du, Jianhui Li^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We obtain L^p estimates of the maximal Schrödinger operator in Rⁿ using polynomial partitioning, bilinear refined Strichartz estimates, and weighted restriction estimates.

Original language	English (US)
Article number	110737
Journal	Journal of Functional Analysis
Volume	288
Issue number	3
DOIs	https://doi.org/10.1016/j.jfa.2024.110737
State	Published - Feb 1 2025

Funding

XD is supported by NSF CAREER DMS-2237349 and Sloan Research Fellowship. JL is supported by AMS-Simons Travel Grant.

Keywords

Maximal estimate
Polynomial partitioning
Schrödinger equation
Weighted restriction

ASJC Scopus subject areas

Analysis

Access to Document

10.1016/j.jfa.2024.110737

Cite this

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title = "Lp estimates of the maximal Schr{\"o}dinger operator in Rn",

abstract = "We obtain Lp estimates of the maximal Schr{\"o}dinger operator in Rn using polynomial partitioning, bilinear refined Strichartz estimates, and weighted restriction estimates.",

keywords = "Maximal estimate, Polynomial partitioning, Schr{\"o}dinger equation, Weighted restriction",

author = "Xiumin Du and Jianhui Li",

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KW - Weighted restriction

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