A Remark on the Almost Global Existence Theorems of Keel, Smith and Sogge

被引：27

作者：

Hidano, Kunio

Yokoyama, Kazuyoshi ^{[1
]}

机构：

[1] Hokkaido Inst Technol, Teine Ku, Sapporo, Hokkaido 0068585, Japan

来源：

FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA | 2005年 / 48卷 / 01期

基金：

日本学术振兴会;

关键词：

Semi-linear wave equation; Null condition; Global existence; Space-time L-2-estimate;

D O I：

10.1619/fesi.48.1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a new proof of temporally global existence of small solutions for systems of semi-linear wave equations. Our proof uses the Klainerman-Sideris inequality and a space-time L-2-estimate. We also discuss whether the scale-invariant version of the space-time L-2-estimates can hold, and obtain some related estimates. Among other things, we prove that the Keel-Smith-Sogge estimate actually holds in all space dimensions.

引用

页码：1 / 34

页数：34

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[Anonymous], 2004, HOKKAIDO MATH J

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