| 偶数维空间耗散波动方程解的衰减估计 |
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| 引用本文： | 徐红梅,辛谷雨.偶数维空间耗散波动方程解的衰减估计[J].数学年刊A辑,2010,31(1). |
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| 作者姓名： | 徐红梅 辛谷雨 |
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| 作者单位： | 1. 河海大学理学院,南京,210009
2. 中国电子科技集团公司第28研究所,南京,210007 |
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| 基金项目： | 国家自然科学基金(No.70771084)资助的项目 |
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| 摘 要： | 研究偶数维空间带粘性的波动方程柯西问题解的逐点估计.通过对格林函数的精细分析,得到解的大时间状态.解呈现出惠更斯现象.
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| 关 键 词： | 柯西问题 带粘性的波动方程 偶数维空间 逐点估计 惠更斯原理 |
Decay Rate of Dissipative Wave Equation in Multi Even Dimensions |
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| XU Hongmei,XIN Guyu.Decay Rate of Dissipative Wave Equation in Multi Even Dimensions[J].Chinese Annals of Mathematics,Series A,2010,31(1). |
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| Authors: | XU Hongmei XIN Guyu |
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| Abstract: | This paper studies the pointwise estimate of solution to the Cauchy problem for the wave equation with viscosity in multi even dimensions.Through the explicit analysis of the Green function,the large time behavior of solution is obtained,and the solution exhibits the generalized Huygens principle. |
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| Keywords: | Cauchy problem Wave equation with viscosity Multi even dimensions Pointwise estimate Huygens principle |
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