Bounds for the Lifespan of Solutions to Fourth-order Hyperbolic Equations with Initial Data at Arbitrary Energy Level

Guo Bin; Li Xiaolei

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Bounds for the Lifespan of Solutions to Fourth-order Hyperbolic Equations with Initial Data at Arbitrary Energy Level

机译：具有任意能量水平的初始数据的四阶双曲线方程的寿命寿命的界限

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摘要

This paper deals with lower and upper bounds for the lifespan of solutions to a fourth-order nonlinear hyperbolic equation with strong damping:

机译：本文对具有强大阻尼的第四阶非线性双曲线方程的解决方案的寿命下限和上限：

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来源
《Taiwanese journal of mathematics 》 |2019年第6期| 共17页
作者
Guo Bin; Li Xiaolei;
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作者单位

Jilin Univ Sch Math Changchun 130012 Jilin Peoples R China;

Jilin Univ Sch Math Changchun 130012 Jilin Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类数学 ;
关键词
concavity argument; energy estimate; mountain pass level;

机译：凹陷论证;能量估计;山口水平;

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1. Bounds for the Lifespan of Solutions to Fourth-order Hyperbolic Equations with Initial Data at Arbitrary Energy Level [J] . Guo Bin, Li Xiaolei Taiwanese journal of mathematics . 2019 ,第6期

机译：具有任意能量水平的初始数据的四阶双曲线方程的寿命寿命的界限
2. Blow-up of solutions for a nonlinear viscoelastic wave equation with initial data at arbitrary energy level [J] . Sun Fenglong, Liu Lishan, Wu Yonghong Applicable Analysis . 2019 ,第9a12期

机译：任意能级初始数据的非线性粘弹性波方程的解
3. Blow-up phenomena and lifespan for a quasi-linear pseudo-parabolic equation at arbitrary initial energy level [J] . Gongwei Liu, Ruimin Zhao Boundary value problems . 2018 ,第1期

机译：任意初始能级拟线性拟抛物方程的爆破现象和寿命
4. EXACT SOLUTION OF TWO-DIMENSIONAL HYPERBOLIC HEAT CONDUCTION EQUATION WITH COMBINED BOUNDARY CONDITIONS AND ARBITRARY INITIAL CONDITIONS [C] . Seyed Reza Mahmoudi, Nikola Toljic ASME summer heat transfer conference;HT2009 . 2009

机译：带有边界条件和任意初始条件的二维双曲热传导方程的精确解
5. Computing rigorous bounds on the solution of an initial value problem for an ordinary differential equation. [D] . Nedialkov, Nedialko Stoyanov. 1999

机译：计算常微分方程初值问题解的严格边界。
6. Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions [O] . Ravi P. Agarwal, Omar Bazighifan, Maria Alessandra Ragusa 2021

机译：四阶的非线性中性延迟微分方程：解决方案振荡
7. Bounds for lifespan of solutions to strongly damped semilinear wave equations with logarithmic sources and arbitrary initial energy [O] . Ge Zu, Bin Guo 2021

机译：具有对数源和任意初始能量的强阻尼半线性波动方程的解决方案的界限

Bounds for the Lifespan of Solutions to Fourth-order Hyperbolic Equations with Initial Data at Arbitrary Energy Level

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