| 多群流算子的谱 |
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| 引用本文： | 张显文.多群流算子的谱[J].应用数学学报,1999,22(4):481-489. |
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| 作者姓名： | 张显文 |
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| 作者单位： | 华中理工大学教学系!武汉，430074 |
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| 摘 要： | 本文在Ｌ＾１空间中讨论了一类多群流算子的谱性质。证明了该算子的谱由可数多个具有有限代数重数的特征值组成，并且给出了特征子空间和投影算子的表示。因此，在多群意义下解决了第七届国际迁移理论会议上提出的一个公开问题。
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| 关 键 词： | 流算子 扩散边界条件 谱 多群流算子 迁移理论 |
THE SPECTRUM OF THE MULTIGROUP STREAMING OPERATOR |
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| ZHANG XIANWEN.THE SPECTRUM OF THE MULTIGROUP STREAMING OPERATOR[J].Acta Mathematicae Applicatae Sinica,1999,22(4):481-489. |
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| Authors: | ZHANG XIANWEN |
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| Abstract: | In this paper,the spectral properties of a multigroup streaming operator are discussed in L1 space;it is proved that the spectrum of the operator consists of countable eigenvalues, each of which has finite algebraic multiplicity;moreover,representations of eigensubspaces and projection operators are given.Hence, an open problem proposed in the Seventh International conference on Transport Theory(Lubbock,Texas,1981)1]is solved in the sense of multigroup case. |
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| Keywords: | Streaming operator diffuse boundary condition spectrum |
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