Blow-up of the solution for semilinear damped wave equation with time-dependent damping

Lin J.; Zhai J.

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Blow-up of the solution for semilinear damped wave equation with time-dependent damping

机译：具时变阻尼的半线性阻尼波方程解的爆破

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摘要

We consider the Cauchy problem for the damped wave equation with time-dependent damping and a power-type nonlinearity |u|~ρ. For some large initial data, we will show that the solution to the damped wave equation will blow up within a finite time. Moreover, we can show the upper bound of the life-span of the solution.

机译：我们考虑具有时变阻尼和幂型非线性| u |〜ρ的阻尼波方程的柯西问题。对于一些较大的初始数据，我们将显示阻尼波方程的解将在有限时间内爆炸。此外，我们可以显示解决方案寿命的上限。

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《Communications in contemporary mathematics》 |2012年第5期|共10页
作者
Lin J.; Zhai J.;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
blow up; Damped wave equation; time-dependent damping;

机译：爆炸;阻尼波动方程;时变阻尼;

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1. Blow-up of the solution for semilinear damped wave equation with time-dependent damping [J] . Lin J., Zhai J. Communications in contemporary mathematics . 2012,第5期

机译：具时变阻尼的半线性阻尼波方程解的爆破
2. BLOW-UP FOR SEMILINEAR WAVE EQUATIONS WITH TIME-DEPENDENT DAMPING IN AN EXTERIOR DOMAIN [J] . Jleli Mohamed, Samet Bessem Communications on pure and applied analysis . 2020,第7期

机译：在外部域中具有时间依赖性阻尼的半线性波动方程的吹气
3. BLOW-UP OF SOLUTIONS TO THE ONE-DIMENSIONAL SEMILINEAR WAVE EQUATION WITH DAMPING DEPENDING ON TIME AND SPACE VARIABLES [J] . Yuta Wakasugi Discrete and continuous dynamical systems . 2014,第9期

机译：一维半线性波方程解的爆破，其中阻尼取决于时间和空间变量
4. SMALL DATA SOLUTIONS FOR SEMILINEAR WAVE EQUATIONS WITH EFFECTIVE DAMPING [C] . Marcello DAbbicco AIMS International Conference on Dynamical Systems, Differential Equations and Applications . 2013

机译：具有有效阻尼的半线性波动方程的小数据解决方案
5. Blow-Up Solutions of Wave Map Equations with Periodic in Time Speed of Propagation [D] . Luna-Rivera, Nathalie M. 2018

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6. Blow-up of solutions of nonlinear wave equations in three space dimensions [O] . Fritz John 1979

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7. 3 BLOW-UP OF SOLUTIONS TO THE ONE-DIMENSIONAL SEMILINEAR WAVE EQUATION WITH DAMPING DEPENDING ON TIME AND SPACE VARIABLES [O] . Yuta Wakasugi 2016

机译：3具有时间和空间变量的阻尼的一维半线性波动方程解的爆破
8. Entire Blow-Up Solutions of Semilinear Elliptic Equations and Systems; Master's thesis [R] . Peterson, J. D. 2008

机译：半线性椭圆型方程组和系统的整体爆破解;硕士论文

Blow-up of the solution for semilinear damped wave equation with time-dependent damping

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