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.

引用

页码：5378 / 5420

页数：43

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