| 一类具有动力边界条件的进化方程解的衰减性 |
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| 引用本文： | 申家峰,韩献军,薛红霞. 一类具有动力边界条件的进化方程解的衰减性[J]. 数学杂志, 2010, 30(5) |
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| 作者姓名： | 申家峰 韩献军 薛红霞 |
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| 作者单位： | 1. 郑州航空工业管理学院数理系,河南,郑州,450015
2. 河南城建学院数理系,河南,平顶山,467044 |
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| 摘 要： | 本文研究了一类具有动力边界条件的方程解的衰减性.利用能量扰动法,得到了解的衰减性与外力f(x,t)之间的关系,即它们具有相同的指数衰减性和代数衰减性.
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| 关 键 词： | 能量衰减 动力边界条件 能量扰动法 |
DECAY RATE FOR A CLASS OF EVOLUTION EQUATIONS WITH DYNAMIC BOUNDARY CONDITIONS |
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| SHEN Jia-feng,HAN Xian-jun,XUE Hong-xia. DECAY RATE FOR A CLASS OF EVOLUTION EQUATIONS WITH DYNAMIC BOUNDARY CONDITIONS[J]. Journal of Mathematics, 2010, 30(5) |
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| Authors: | SHEN Jia-feng HAN Xian-jun XUE Hong-xia |
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| Abstract: | In this article, we focus on the energy decay of solution for the equation with dynamic boundary conditions. By using energy perturbation method, we establish the relationship between decay rate of the solution and the external force f(x, t), that is, they have the same exponential decay or algebraic decay. |
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| Keywords: | energy decay dynamic boundary condition energy perturbation method |
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