[1]刘林启.广义函数乘积[J].深圳大学学报理工版,1987,(3-4):13-17.
 Liu Linqi.Multiplication of Distributions[J].Journal of Shenzhen University Science and Engineering,1987,(3-4):13-17.
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广义函数乘积()
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《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
期数:
1987年3-4期
页码:
13-17
栏目:
环境与能源
出版日期:
1987-12-31

文章信息/Info

Title:
Multiplication of Distributions
作者:
刘林启
Author(s):
Liu Linqi
文献标志码:
A
摘要:

摘要本文揭示了在Sobolev空间Hs, 0≤s≤n/2中乘积的光滑性亏损定理,—个例子表明这种广义函数乘积的光滑性确实受到如此程度的亏损。对于 s>n/2, 我们采用新的更为简捷的办法来证明并改进了有关结果 . 最后,对于任何 s<0 我们均可在 Hs, s<0 中找到一个广义函数,其乘积在 D’(Rn) 中不存在 .

Abstract:
In this poper we prove the results about multiplication of distribution in Sobolev space Hs,s>n/2 in a simple way which differs from the former.An example shows the smoothness of product of such distributions is lost indeed. In the end of this paper, there exists a distribution in Hs for any s<0,the preduct of which does not exist in D’(Rn).
更新日期/Last Update: 2016-05-18