| 一类有边界记忆条件的非线性波动方程解的整体存在和一致衰减 |
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| 引用本文： | 钟越,赖绍永,黄文毅.一类有边界记忆条件的非线性波动方程解的整体存在和一致衰减[J].四川师范大学学报(自然科学版),2006,29(2):147-151. |
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| 作者姓名： | 钟越 赖绍永 黄文毅 |
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| 作者单位： | 四川师范大学,数学与软件科学学院,四川,成都,610066 |
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| 基金项目： | 四川省学位委员会资助项目;四川省教育厅资助项目 |
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| 摘 要： | 研究一类带记忆边界条件的科尔霍夫型波方程,主要讨论其整体解的存在唯一性及能量的衰减性.利用Galerkin近似方法研究方程解的存在唯一性,然后引入松驰函数,利用扰动能量方法证明系统能量的衰减.
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| 关 键 词： | 整体解 Galerkin方法 渐近性 初边值问题 |
| 文章编号： | 1001-8395（2006）02-0147-05 |
| 收稿时间： | 2005-07-01 |
| 修稿时间： | 2005年7月1日 |
Global Existence and Uniform Decay of Solutions for a Nonlinear Wave Equation with Memory Condition at the Boundary |
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| ZHONG Yue,LAI Shao-yong,HUANG Wen-yi.Global Existence and Uniform Decay of Solutions for a Nonlinear Wave Equation with Memory Condition at the Boundary[J].Journal of Sichuan Normal University(Natural Science),2006,29(2):147-151. |
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| Authors: | ZHONG Yue LAI Shao-yong HUANG Wen-yi |
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| Institution: | College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan |
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| Abstract: | A class of nonlinear wave equations of Kirchhoff type with memory condition at the boundary are discussed in this paper.The existence and uniqueness of global solutions for the equations are established by Galerkin's approximation method.Then,by using of perturbed energy method it is proved that the energy decay has the same rate as that of the relaxation function. |
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| Keywords: | Global existence Galerkin's method Asymptotic behavior Initial boundary value problem |
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