| 二阶微分算子积的自伴性 |
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| 引用本文： | 曹之江,孙炯,Edmunds D.E.二阶微分算子积的自伴性[J].数学学报,1999,42(4):649-654. |
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| 作者姓名： | 曹之江 孙炯 Edmunds D.E |
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| 作者单位： | 1. 内蒙古大学数学系,呼和浩特,010021
2. 英国Sussex大学Brighton,BN1,9QH |
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| 摘 要： | 本文讨论了由正则和奇异的二阶对称微分算式生成的微分算子的积算子的自伴性，得到了积算子为自伴算子时边条件应满足的充分而必要的条件及若干其他结果．
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| 关 键 词： | 对称微分算式 微分算子 自伴算子 |
| 修稿时间： | :1996-11-2 |
On Self-adjointness of the Product of Two Second-order Differential Operators |
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| Cao Zhijiang,Sun Jiong,Edmunds D.E.On Self-adjointness of the Product of Two Second-order Differential Operators[J].Acta Mathematica Sinica,1999,42(4):649-654. |
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| Authors: | Cao Zhijiang Sun Jiong Edmunds DE |
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| Institution: | Cao Zhijiang; Sun Jiong(Department of Mathematics, Inner Mongolia University, Huhhot 010021, P. R. China)Edmunds D.E.(Centre of Mathematical Analysis and Its Applications, University of Sussex, Falmer,Brighton BN1 9QH, England) |
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| Abstract: | In this paper the adjointness of the product of two differential operators generated by a second order symmetric differential expression is discussed. The necessaryand sufficient conditions which make the product operators being the adjoint operatorsand other some results are obtained. |
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| Keywords: | Symmetric differential expression Differential operator Self-adjoint operator |
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