Decay estimates for the wave equation in two dimensions

被引：4
|
作者：
Beceanu, Marius [1 ]
机构：
[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 260卷 / 06期
关键词：
Wave equation; Dimension two; Reversed Strichartz estimates; Pointwise decay estimates; Strichartz estimates; SCHRODINGER-OPERATORS; ABSENCE;
D O I：
10.1016/j.jde.2015.12.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish Strichartz estimates (both reversed and some direct ones), pointwise decay estimates, and weighted decay estimates for the linear wave equation in dimension two with an almost scaling-critical potential, in the case when there is no resonance or eigenvalue at the edge of the spectrum. We also prove some simple applications. (C) 2015 Published by Elsevier Inc.
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页码：5378 / 5420
页数：43
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