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A note on local smoothing estimates for fractional Schrödinger equations

Gan, Shengwen and Oh, Changkeun and Wu, Shukun (2022) A note on local smoothing estimates for fractional Schrödinger equations. Journal of Functional Analysis, 283 (5). Art. No. 109558. ISSN 0022-1236. doi:10.1016/j.jfa.2022.109558. https://resolver.caltech.edu/CaltechAUTHORS:20220721-7983000

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Abstract

We improve local smoothing estimates for fractional Schrödinger equations for α∈(0,1)∪(1,∞).


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/j.jfa.2022.109558DOIArticle
https://arxiv.org/abs/2109.05401arXivDiscussion Paper
Additional Information:© 2022 Elsevier. Received 11 September 2021, Accepted 11 May 2022, Available online 20 May 2022, Version of Record 26 May 2022. The authors would like to thank Andreas Seeger for helpful discussions on the case α < 1. The authors would also like to thank Shaoming Guo, Hong Wang and Ruixiang Zhang for valuable discussions on the appendix of this manuscript. C.O. was partially supported by the NSF grant DMS-1800274.
Funders:
Funding AgencyGrant Number
NSFDMS-1800274
Subject Keywords:Local smoothing; Polynomial method; Restriction
Issue or Number:5
DOI:10.1016/j.jfa.2022.109558
Record Number:CaltechAUTHORS:20220721-7983000
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20220721-7983000
Official Citation:Shengwen Gan, Changkeun Oh, Shukun Wu, A note on local smoothing estimates for fractional Schrödinger equations, Journal of Functional Analysis, Volume 283, Issue 5, 2022, 109558, ISSN 0022-1236, https://doi.org/10.1016/j.jfa.2022.109558.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:115719
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:22 Jul 2022 17:33
Last Modified:29 Jul 2022 18:24

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