| 一类具抽象边界条件的迁移算子的谱分布 |
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| 引用本文： | 吴红星,王胜华,袁邓彬. 一类具抽象边界条件的迁移算子的谱分布[J]. 纯粹数学与应用数学, 2013, 0(5): 489-497 |
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| 作者姓名： | 吴红星 王胜华 袁邓彬 |
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| 作者单位： | 上饶师范学院数学与计算机科学学院,江西 上饶,334001;上饶师范学院数学与计算机科学学院,江西 上饶,334001;上饶师范学院数学与计算机科学学院,江西 上饶,334001 |
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| 基金项目： | 江西省自然科学基金（20132BAB201002）;江西省教育厅科技项目（GJJ13706,GJJ13703）. |
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| 摘 要： | 利用线性算子半群理论，研究了板几何中具抽象边界条件的各向异性、连续能量、非均匀介质的迁移方程．在假设边界算子日部分光滑和扰动算子K正则的条件下，采用豫解方法，得到了该迁移算子A的谱在区域Г中由至多可数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： | 迁移算子 抽象边界条件 非均匀 部分光滑算子 离散本征值 |
The spectrum distribution of a transport operator with abstract boundary condition |
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| Wu Hongxing,Wang Shenghua,Yuan Dengbin. The spectrum distribution of a transport operator with abstract boundary condition[J]. Pure and Applied Mathematics, 2013, 0(5): 489-497 |
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| Authors: | Wu Hongxing Wang Shenghua Yuan Dengbin |
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| Affiliation: | (College of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, China) |
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| Abstract: | In this paper, transport operator equation of anisotropic continuous energy nonhomogeneous with abstract boundary condition in slab geometry is studied. Supposing that the H is partly smooth and K is regular, the spectrum of the transport operator A consists of, at most, isolated eigenvalues with finite algebraic multiplicities in the trip F is obtained. The main method relies on theory of semigroups of linear operators and solution method. |
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| Keywords: | transport operator abstract boundary condition nonhomogeneous partly smooth operator discrete eigenvalues |
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