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| 一类非线性抛物方程弱解的长时间性态 | |
| 引用本文： | 高永东,董柏青,肖建章.一类非线性抛物方程弱解的长时间性态[J].咸宁学院学报,2003,23(6):23-25. |
| 作者姓名： | 高永东 董柏青 肖建章 |
| 作者单位： | 1. 咸宁学院,数学系,湖北,咸宁,437005 2. 华中科技大学,数学系,湖北,武汉,430074 3. 温泉高级中学,湖北,咸宁,437100 |
| 摘 要： | 利用Fourier分解方法讨论一类非线性抛物方程弱解的长时间性态，证明了其解在L^2范数下衰减速率为(1 t)^-n/4。 |
| 关 键 词： | 长时间性态 非线性抛物方程 |
Large Time Behavior for Weak Solutions of some Nonlinear Parabolic Equations |
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| GAO Yong-dong,DONG Bo-qing,XIAO Jian-zhang.Large Time Behavior for Weak Solutions of some Nonlinear Parabolic Equations[J].Journal of Xianning College,2003,23(6):23-25. | |
| Authors: | GAO Yong-dong DONG Bo-qing XIAO Jian-zhang |
| Institution: | GAO Yong-dong1,DONG Bo-qing2,XIAO Jian-zhang3 |
| Abstract: | In this paper,the author study the large time behavior for the weak solutions of some nonlinear parabolic equations in whole space by using Fourier splitting method.It is proved that the solutions decay in L~2 norm at (1+t)~(-n4). |
| Keywords: | Large time behavior Nonlinear parabolic equation |
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