Global Strichartz estimates for solutions to the wave equation exterior to a convex obstacle

被引：33
|
作者：
Metcalfe, JL [1 ]
机构：
[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 356卷 / 12期
关键词：
D O I：
10.1090/S0002-9947-04-03667-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we show that certain local Strichartz estimates for solutions of the wave equation exterior to a convex obstacle can be extended to estimates that are global in both space and time. This extends the work that was done previously by H. Smith and C. Sogge in odd spatial dimensions. In order to prove the global estimates, we explore weighted Strichartz estimates for solutions of the wave equation when the Cauchy data and forcing term are compactly supported.
引用
收藏
页码：4839 / 4855
页数：17
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