Existence and blow up for a nonlinear hyperbolic equation with anisotropy

被引：2

作者：

Lu, Liqing ^{[1
]}

Li, Shengjia ^{[2
]}

Hao, Jianghao ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

[2] Shanxi Univ, Res Inst Math & Appl Math, Taiyuan 030006, Shanxi, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 10期

基金：

美国国家科学基金会;

关键词：

Anisotropy; Nonlinear hyperbolic equation; Blow up; LINEAR WAVE-EQUATIONS; EVOLUTION EQUATION; GLOBAL EXISTENCE; DECAY-RATES;

D O I：

10.1016/j.aml.2011.11.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a nonlinear wave equation with anisotropy and a source term. Under some appropriate assumptions on the parameters, and with certain initial data, we obtain several results on the existence of local solutions and the blow up of solutions in finite time. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1320 / 1326

页数：7

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