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The Local Existence for Semilinear Wave Equations

杨晗赖绍永

西南交通大学学报(英文版)2002，Vol.10Issue(2)：134-138,5.

The Local Existence for Semilinear Wave Equations

杨晗 ¹赖绍永²

作者信息

1. Department of Applied Mathematics, Southwest Jiaotong University, Chengdu 610031, China
2. Department of Mathematics, Sichuan Normal University, Chengdu 610066, China
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摘要

Abstract

The Cauchy problem for the semilinear wave equation has been studied and results show that the problem is locally well-posed in Hs(Rn) for s>max{0,n /2-1}. We extend the results by Lindblad in R3 to R2 and R1. The methods used in this paper are different from those of Lindblad and also the methods are more simple.

关键词

semilinear wave equations/Cauchy problem

Key words

semilinear wave equations/Cauchy problem

分类

数理科学

引用本文复制引用

杨晗,赖绍永..The Local Existence for Semilinear Wave Equations [J].西南交通大学学报(英文版),2002,10(2):134-138,5.

基金项目

Supported by the fund of SWJTU (No.1999XJ06) （No.1999XJ06）

西南交通大学学报(英文版)

ISSN：2662-4745

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