Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation

被引：76
|
作者：
Machihara, S [1 ]
Nakamura, M
Nakanishi, K
Ozawa, T
机构：
[1] Shimane Univ, Dept Math, Matsue, Shimane 6908504, Japan
[2] Tohoku Univ, GSIS, Sendai, Miyagi 9808579, Japan
[3] Nagoya Univ, Grad Sch Math, Nagoya, Aichi 4648602, Japan
[4] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2005年 / 219卷 / 01期
基金：
日本学术振兴会;
关键词：
endpoint Strichartz estimates; Klein-Gordon equation; nonlinear Dirac equation;
D O I：
10.1016/j.jfa.2004.07.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove endpoint Strichartz estimates for the Klein-Gordon and wave equations in mixed norms on the polar coordinates in three spatial dimensions. As an application, global wellposed-ness of the nonlinear Dirac equation is shown for small data in the energy class with some regularity assumption for the angular variable. (C) 2004 Elsevier Inc. All fights reserved.
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页码：1 / 20
页数：20
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