一类非线性双曲型方程解的爆破

数学季刊 ›› 2010, Vol. 25 ›› Issue (4): 578-581.

一类非线性双曲型方程解的爆破

Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management

收稿日期:2007-03-27 出版日期:2010-12-30 发布日期:2023-05-19
作者简介:WANG Yan-ping(1968-), female, native of Zhoukou, Henan, an associate professor of Zhengzhou Inistitue of Aeronautical Industry Management, Ph.D., engages in PDE.
基金资助:
Supported by the National Natural Science Foundation of China(10671182)； Supported by the Excellent Youth Teachers Foundation of High College of Henan Province(2006110016)；

Blow-up of Solution for a Nonlinear Hyperbolic Equation

Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management

Received:2007-03-27 Online:2010-12-30 Published:2023-05-19
About author:WANG Yan-ping(1968-), female, native of Zhoukou, Henan, an associate professor of Zhengzhou Inistitue of Aeronautical Industry Management, Ph.D., engages in PDE.
Supported by:
Supported by the National Natural Science Foundation of China(10671182)； Supported by the Excellent Youth Teachers Foundation of High College of Henan Province(2006110016)；

摘要/Abstract

摘要： 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: nonlinear hyperbolic equation, blow-up of solution, initial boundary value
problem

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.

Key words: nonlinear hyperbolic equation, blow-up of solution, initial boundary value
problem

中图分类号:

O175.27

王艳萍. 一类非线性双曲型方程解的爆破[J]. 数学季刊, 2010, 25(4): 578-581.

WANG Yan-ping. Blow-up of Solution for a Nonlinear Hyperbolic Equation [J]. Chinese Quarterly Journal of Mathematics, 2010, 25(4): 578-581.