Sharp Strichartz estimates for the Schrodinger equation on the sphere

被引：2

作者：

Sanchez, Duvan Cardona ^{[1
]}

Esquivel, Liliana ^{[2
]}

机构：

[1] Univ Ghent, Dept Math Anal Log & Discrete Math, Ghent, Belgium

[2] Gran Sasso Sci Inst, I-67100 Laquila, Italy

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2021年 / 12卷 / 01期

关键词：

Primary: 35Q40; Secondary: 42B35; 42C10; 35K15;

D O I：

10.1007/s11868-021-00376-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this contribution we investigate the Schrordinger equation associated to the Laplacian on the sphere in the form of sharp Strichartz estimates. We will provided simple proofs for our main theorems using purely the L-2 -> L-p spectral estimates for the operator norm of the spectral projections (associated to the spherical harmonics) proved in Kwon and Lee (RIMS Kokyuroku Bessatsu 70:33-58, 2018). A sharp index of regularity is established for the initial data in spheres of arbitrary dimension d >= 2.

引用

页数：14

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