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 | |||||||||
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| 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. | |||||||||
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| 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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