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    • 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):81~90
    偶数维空间耗散波动方程解的衰减估计
    Decay Rate of Dissipative Wave Equation in Multi Even Dimensions
      
    DOI：
    中文关键词:  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
    英文关键词:Cauchy problem  Wave equation with viscosity  Multi even dimensions  Pointwise estimate  Huygens principle
    基金项目:国家自然科学基金(No.70771084)资助的项目
    Author NameAffiliationE-mail
    XU Hongmei College of Science, Hohai University, Nanjing 210009, China. xxu_hongmei@yahoo.com.cn 
    XIN Guyu China Electronics Technology Group Corporation No.28 Research Institute, Nanjing 210007, China. xinguyu@yahoo.com.cn 
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    中文摘要:
          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.
    英文摘要:
          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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