MAXIMAL ESTIMATES FOR SCHRODINGER EQUATIONS WITH INVERSE-SQUARE POTENTIAL

被引：15

作者：

Miao, Changxing ^{[1
]}

Zhang, Junyong ^{[2
]}

Zheng, Jiqiang ^{[3
]}

机构：

[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

[2] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

[3] China Acad Engn Phys, Grad Sch, Beijing 100088, Peoples R China

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2015年 / 273卷 / 01期

基金：

中国国家自然科学基金; 北京市自然科学基金;

关键词：

inverse square potential; maximal estimate; spherical harmonics; WAVE-EQUATION;

D O I：

10.2140/pjm.2015.273.1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider maximal estimates for the solution to an initial value problem of the linear Schrodinger equation with a singular potential. We show a result about the pointwise convergence of solutions to this special variable coefficient Schrodinger equation with initial data u(0) is an element of H-S (R-n) for s > 1/2 or radial initial data u(0) is an element of H-S (R-n) for s >= 1/4 and that the solution does not converge when s < 1/4.

引用

页码：1 / 19

页数：19

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