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Asymptotic Behavior of Solutions to the Damped Quasilinear Equation

机译：阻尼拟线性方程解的渐近性

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Asymptotic lower bounds for the L2 norms of solutions of initial-boundary value problems associated with the equation of the title are derived for a simple case in which the equation fails to exhibit strict hyperbolicity. It is shown that in such cases the norm of a solution will be bounded away from zero as t approaches infinity even as the damping factor gamma becomes infinitely large.

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作者
Bloom, F.;
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作者单位

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年度 1981
页码 p.1-15
总页数 15
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Boundary value problems; Asymptotic normality; Linear systems; Damping; Volterra equations; Wave equations; Viscoelasticity; Fluid dynamics;

机译：边值问题;渐近正态性;线性系统;阻尼; Volterra方程;波动方程;粘弹性;流体动力学;

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1. Asymptotic behaviors of solutions of quasilinear hyperbolic equations with linear damping II [J] . Zhao HJ. Journal of Differential Equations . 2000,第2期

机译：线性阻尼拟线性双曲型方程解的渐近性质。
2. Asymptotic behavior of solutions of quasilinear hyperbolic equations with linear damping [J] . Nishihara K Journal of Differential Equations . 1997,第2期

机译：具有线性阻尼的拟线性双曲型方程解的渐近性质。
3. Asymptotic behavior of solutions of quasilinear hyperbolic equations with linear damping [J] . Nishihara K Journal of Differential Equations . 1997,第2期

机译：具有线性阻尼的拟线性双曲型方程解的渐近性质。
4. The asymptotic behavior solutions to damped Navier-Stokes equations in unbounded domain [C] . Qianqian Xie, Yan Jia, Jing Zhang Youth Academic Annual Conference of Chinese Association of Automation . 2017

机译：无界域中阻尼Navier-Stokes方程的渐近行为解
5. Asymptotically Stable Ill-Posedness of Geometric Quasilinear Wave Equations [D] . Granowski, Ross. 2018

机译：几何拟线性波动方程的渐近稳定不适定性
6. Multiplicity and asymptotic behavior of solutions to a class of Kirchhoff-type equations involving the fractional p-Laplacian [O] . Liejun Shen -1

机译：一类涉及分数p-Laplacian的Kirchhoff型方程解的多重性和渐近行为
7. Asymptotic Behaviors of Solutions of Quasilinear Hyperbolic Equations with Linear Damping II [O] . Zhao Huijiang 2000

机译：线性阻尼拟线性双曲型方程解的渐近性质。

Asymptotic Behavior of Solutions to the Damped Quasilinear Equation

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