| 人体细胞增生中一类迁移算子的谱分析 |
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| 引用本文： | 王胜华,翁云芳,阳名珠.人体细胞增生中一类迁移算子的谱分析[J].数学物理学报(A辑),2010,30(4):1055-1061. |
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| 作者姓名： | 王胜华 翁云芳 阳名珠 |
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| 作者单位： | 王胜华,翁云芳(上饶师范学院数学与计算机系,江西上饶,334000);阳名珠(中国原子能科学研究院,北京,102413) |
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| 摘 要： | 该文在L~p(1≤p+∞)空间上,研究了人体细胞增生中具一般边界条件的Rotenberg模型的迁移方程,证明了这类迁移算子A产生C-0半群及本征值的存在性,得到了该迁移算子的谱在区域Γ中仅由有限个具有限代数重数的离散本征值组成等结果.
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| 关 键 词： | Rotenberg模型 迁移算子 C0半群 一般边界条件 本征值 |
| 收稿时间： | 2007-10-11 |
| 修稿时间： | 2009-08-12 |
Spectrum Analysis of |Transport Operators in the Growing Cell Populations |
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| WANG Sheng-Hua,WENG Yun-Fang,YANG Ming-Zhu.Spectrum Analysis of |Transport Operators in the Growing Cell Populations[J].Acta Mathematica Scientia,2010,30(4):1055-1061. |
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| Authors: | WANG Sheng-Hua WENG Yun-Fang YANG Ming-Zhu |
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| Institution: | 1.Department of Mathematics and Computer, Shangrao Normal College, Jiangxi Shangrao 334001;
2.China Institute of Atomic Energy, Beijing 102314 |
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| Abstract: | The objective of this paper is to research the transport equations of Rotenberg's model general boundary condition in the growing cell populations in Lp-space (1≤p <+∞). It is shown the transport operator A generates C0 semigroup and the existece of the eigenvalue, so it is obtained that the spectrum of the transport operators only consisting of finitely isolate eigenvalues with finite algebraic multiplicities in the trip Γ. |
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| Keywords: | Rotenbergs modelzz Transport operatorszz C0 semigroupzz General boundary conditionzz Eigenvaluezz |
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