| 对偶Kirchhoff型波动方程的一致衰减解 |
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| 引用本文： | 黄文毅,钟越,刘诗涣,赖绍永.对偶Kirchhoff型波动方程的一致衰减解[J].四川师范大学学报(自然科学版),2007,30(3):253-257. |
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| 作者姓名： | 黄文毅 钟越 刘诗涣 赖绍永 |
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| 作者单位： | 1. 四川师范大学,数学与软件科学学院,四川,成都,610066
2. 四川师范大学,文理学院,四川,成都,610110 |
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| 基金项目： | 人事部归国留学人员基金 |
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| 摘 要： | 利用Faedo-Galerkin近似法和能量扰动方法研究了一类对偶的Kirchhoff型波动方程解的存在性,并证明了其能量的一致衰减.
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| 关 键 词： | 解的存在性 一致衰减 波动方程 先验估计 |
| 文章编号： | 1001-8395（2007）03-0253-05 |
| 收稿时间： | 2005-04-19 |
| 修稿时间： | 2005-04-19 |
On Uniform Decay of Solutions for the Coupled Wave Equations of Kirchhoff Type |
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| HUANG Wen-yi,ZHONG Yue,LIU Shi-huan,LAI Shao-yong.On Uniform Decay of Solutions for the Coupled Wave Equations of Kirchhoff Type[J].Journal of Sichuan Normal University(Natural Science),2007,30(3):253-257. |
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| Authors: | HUANG Wen-yi ZHONG Yue LIU Shi-huan LAI Shao-yong |
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| Institution: | 1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan ; 2. College of Arts and Science, Sichuan Normal University, Chengdu 610110, Sichuan |
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| Abstract: | In this paper,we prove the existence of solutions and the uniform decay rate of the energy for the coupled wave equations of Kirchhoff type with nonlinear boundary damping and memory source term.Using Faedo-Galerkin's approximation and perturbed energy method,the exponential decay of solutions is discussed. |
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| Keywords: | Existence of solution Uniform decay Wave equation Priori estimates |
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