Strichartz estimatesfor the wave and Schrodinger equations with potentials of critical decay

被引：0

作者：

Burq, N

Planchon, F

Stalker, JG

Tahvildar-Zadeh, S

机构：

[1] Univ Paris 11, Dept Math, F-91405 Orsay, France

[2] Univ Paris 13, UMR 7539, Lab Anal Geometrie & Applicat, Inst Galilee, F-93430 Villetaneuse, France

[3] Univ Dublin Trinity Coll, Sch Math, Dublin 2, Ireland

[4] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2004年 / 53卷 / 06期

关键词：

wave equation; Schrodinger equation; singular potentials; Strichartz estimate; Morawerz estimate; resolvent estimate; point-dipole potential;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove weighted L-2 estimates for the solutions of linear Schrodinger and wave equation with potentials that decay like \x\(-2) for large x, by deducing them from estimates on the resolvent of the associated elliptic operator. We then deduce Strichartz estimates for these equations.

引用

页码：1665 / 1680

页数：16

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