A blow-up result for a higher-order nonlinear Kirchhoff-type hyperbolic equation

Messaoudi SA; Houari BS

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A blow-up result for a higher-order nonlinear Kirchhoff-type hyperbolic equation

机译：高阶非线性Kirchhoff型双曲方程的爆破结果

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In this work we consider a multi-dimensional higher-order Kirchhoff-type wave equation, with Dirichlet boundary conditions. We establish a blow-up result for certain solutions with positive initial energy. (c) 2006 Elsevier Ltd. All rights reserved.

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《Applied mathematics letters》 |2007年第8期|共6页
作者
Messaoudi SA; Houari BS;
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正文语种 eng
中图分类应用数学;
关键词
blow-up; higher order; hyperbolic; Kirchhoff; positive initial energy; GLOBAL NONEXISTENCE THEOREMS; LINEAR EVOLUTION-EQUATIONS; WAVE-EQUATIONS; SOURCE TERMS; DISSIPATION; EXISTENCE;

机译：爆破;高阶;双曲;基尔霍夫;正初始能量;全局不存在定理;线性演化方程;波动方程;源项;耗散;存在;

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1. A blow-up result for a higher-order nonlinear Kirchhoff-type hyperbolic equation [J] . Messaoudi SA, Houari BS Applied mathematics letters . 2007,第8期

机译：高阶非线性Kirchhoff型双曲方程的爆破结果
2. Blow-up of the solution for higher-order Kirchhoff-type equations with nonlinear dissipation : Open Mathematics [J] . Qingyong Gao, Fushan Li, Yanguo Wang Open Mathematics . 2011,第3期

机译：具有非线性耗散的高阶Kirchhoff型方程解的爆破：开放数学
3. Global existence and blow-up of solutions for a higher-order Kirchhoff-type equation with nonlinear dissipation [J] . Li FC Applied mathematics letters . 2004,第12期

机译：具有非线性耗散的高阶Kirchhoff型方程解的整体存在和爆破
4. Blow up of positive initial-energy solutions for a coupled nonlinear higher-order hyperbolic equations [C] . Erhan Piskin, Necat Polat International Conference on Advancements in Mathematical Sciences . 2015

机译：耦合非线性高阶双曲线方程的正初始能量解的爆炸
5. Absence of simple hyperbolic blow-up for the quasi-geostrophic and Euler equations. [D] . Cordoba Gazolaz, Diego. 1998

机译：准地转方程和欧拉方程没有简单的双曲线爆破。
6. Blow-up of solutions of nonlinear wave equations in three space dimensions [O] . Fritz John 1979

机译：三维空间中非线性波动方程解的爆破
7. A blow-up result for a higher-order nonlinear Kirchhoff-type hyperbolic equation [O] . Messaoudi Salim A., Said Houari Belkacem 2007

机译：高阶非线性Kirchhoff型双曲方程的爆破结果

A blow-up result for a higher-order nonlinear Kirchhoff-type hyperbolic equation

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