Zhang, Junyong, Miao, Changxing and Zheng, Jiqiang
2019.
Linear adjoint restriction estimates for paraboloid.
Mathematische Zeitschrift
292
(1-2)
, pp. 427-451.
10.1007/s00209-019-02251-7
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Official URL: https://doi.org/10.1007/s00209-019-02251-7
Abstract
We prove a class of modified paraboloid restriction estimates with a loss of angular deriva- tives for the full set of paraboloid restriction conjecture indices. This result generalizes the paraboloid restriction estimate in radial case from [Shao, Rev. Mat. Iberoam. 25(2009), 1127–1168], as well as the result from [Miao et al. Proc. AMS 140(2012), 2091–2102]. As an application, we show a local smoothing estimate for a solution of the linear Schrödinger equation under the assumption that the initial datum has additional angular regularity.
| Item Type: | Article |
|---|---|
| Date Type: | Publication |
| Status: | Published |
| Schools: | Schools > Mathematics |
| Publisher: | Springer Verlag (Germany) |
| ISSN: | 0025-5874 |
| Date of First Compliant Deposit: | 1 November 2019 |
| Date of Acceptance: | 29 January 2019 |
| Last Modified: | 18 May 2023 19:12 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/126465 |
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