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.
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页码：1665 / 1680
页数：16
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