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半线性弹性动力学方程组的余法分布空间

Conormal Distribution Spaces of Semilinear Elastic Dynamical System
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摘要 文章对半线性弹性动力学方程组的初值奇性传播问题建立了余法分布空间,然后讨论了该空间的一些基本性质,最后得到了该空间的拟微分算子与两个二阶微分算子可进行交换运算的结果。这对于在余法分布框架下研究半线性弹性动力学方程组的初值奇性传播问题是很重要的。 In this paper, we construct conormal distribution spaces on the propagation of initial singularities for semilinear elastic dynamical system, then discuss the character of the spaces, and last prove the theorems of exchange operation which are conducted by pseudo-differential operators in the conormal distribution spaces and two second-order differential operators, this is very important for deeply studying the propagation of initial singularities for semilinear elastic dynamical system in the conormal distribution spaces.
作者 刘自山 雷远明 岳健民
机构地区 四川理工学院数学系
出处 《四川理工学院学报（自然科学版）》 CAS 2007年第5期54-57,共4页 Journal of Sichuan University of Science & Engineering(Natural Science Edition)
基金 四川理工学院科研项目(2004ZR024)
关键词 半线性弹性动力学方程组 奇性传播 余法分布空间 算子 向量场 拟微分算子 semilinear elastic dynamical system propagation of singularity conormal distribution space vector field pseudo-differential operator
分类号 F224.9 [经济管理—国民经济]
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参考文献12

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二级参考文献18

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四川理工学院学报（自然科学版）
2007年 第5期

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