| 一类具黏性拟线性波动方程解的能量衰减和解的爆破 |
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| 引用本文： | 闫用杰,陈翔英.一类具黏性拟线性波动方程解的能量衰减和解的爆破[J].郑州大学学报(自然科学版),2014(1):10-15,20. |
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| 作者姓名： | 闫用杰 陈翔英 |
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| 作者单位： | [1]安康学院数学系,陕西安康725000 [2]郑州电力高等专科学校经济贸易系,河南郑州450004 |
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| 基金项目： | 国家自然科学基金资助项目,编号11271336. |
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| 摘 要： | 研究一类具黏性拟线性波动方程的初边值问题对于小初值解的能量衰减和对于大初值解的爆破.
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| 关 键 词： | 拟线性波动方程 初边值问题 能量衰减 爆破 |
Energy Decay and Blow-up of Solutions for a Class of Quasilinear Wave Equations with Viscosity |
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| YAN Yong-jie,CHEN Xiang-ying.Energy Decay and Blow-up of Solutions for a Class of Quasilinear Wave Equations with Viscosity[J].Journal of Zhengzhou University (Natural Science),2014(1):10-15,20. |
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| Authors: | YAN Yong-jie CHEN Xiang-ying |
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| Institution: | 1. Department of Mathematics, Ankang University, Ankang 725000, China ; 2. Department of Economy and Trade, Zhengzhou Electric Power College, Zhengzhou 450004, China) |
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| Abstract: | The energy decay of solutions for small data was studied, and suilicient conditions of the blow- up of the solutions for large data of initial boundary value problem for a class of quasilinear wave equa-tions with viscosity were given. |
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| Keywords: | quasilinear wave equation initial boundary value problem energy decay blow up |
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