Sharp Strichartz estimates for the Schrödinger equation on the sphere

被引:0
|
作者
Duván Cardona Sánchez
Liliana Esquivel
机构
[1] Ghent University,Department of Mathematics: Analysis, Logic and Discrete Mathematics
[2] Gran Sasso Science Institute,undefined
关键词
Primary: 35Q40; Secondary: 42B35; 42C10; 35K15;
D O I
暂无
中图分类号
学科分类号
摘要
In this contribution we investigate the Schrördinger 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 L2→Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^2\rightarrow L^p$$\end{document} 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\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d\ge 2$$\end{document}.
引用
收藏
相关论文
共 50 条