Linear adjoint restriction estimates for paraboloid

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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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:	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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