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.

引用

页码：1 / 20

页数：20

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