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一类高阶非线性双曲型方程初边值问题解的爆破

王艳萍

应用数学2007,Vol.20Issue(2):345-350,6.
应用数学2007,Vol.20Issue(2):345-350,6.

一类高阶非线性双曲型方程初边值问题解的爆破

Blow-up of Solutions for an Initial Boundary Value Problem for a Nonlinear Hyperbolic Equation of Higher Order

王艳萍1

作者信息

  • 1. 郑州航空工业管理学院数理系,河南,郑州,450015;应用物理与计算数学研究所,北京,100088
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摘要

Abstract

This paper gives the sufficient conditions of blow-up of the solution of a nonlinear hyperbolic equation with the initial boundary value conditions in finite time and proves the existence and uniqueness of the local solution of the problem.

关键词

非线性双曲型方程/高阶/初边值问题/解的爆破

Key words

Nonlinear hyperbolic equation/Higher order/Blow-up of solution/Initial boundary problem

分类

数理科学

引用本文复制引用

王艳萍..一类高阶非线性双曲型方程初边值问题解的爆破[J].应用数学,2007,20(2):345-350,6.

基金项目

Supported by the National Natural Science Foundation of China(10671182) (10671182)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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