| 板几何中具反射边界条件的迁移算子的谱分析 |
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| 引用本文： | 王胜华,吴红星. 板几何中具反射边界条件的迁移算子的谱分析[J]. 数学的实践与认识, 2008, 38(22) |
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| 作者姓名： | 王胜华 吴红星 |
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| 作者单位： | 1. 上饶师院,数学与计算机系,上饶,334000
2. 南昌大学,数学系,南昌,330047 |
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| 基金项目： | 江西省自然科学基金 |
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| 摘 要： | 在Lp(1 p<∞)空间上研究了板几何中具反射边界条件下各向异性、连续能量、非均匀介质的迁移方程,证明了该迁移算子产生C0半群的Dyson-Phillips展开式的二阶余项在Lp(1
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| 关 键 词： | 迁移方程 反射边界条件 二阶余项 紧性 占优本征值 |
The Spectral Analysis of Transport Operator with Reflecting Boundary Condition in Slab Geometry |
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| WANG Sheng-hua,WU Hong-xing. The Spectral Analysis of Transport Operator with Reflecting Boundary Condition in Slab Geometry[J]. Mathematics in Practice and Theory, 2008, 38(22) |
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| Authors: | WANG Sheng-hua WU Hong-xing |
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| Affiliation: | 1.Department of Mathematical and Computer;Shangrao Normal University;Shangrao 334000;China;2.Department of Mathematics;Nanchang University;Nanchang 330047;China |
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| Abstract: | The objective of this paper is to research spectral analysis of transport operator with anisotropic continuous energy nonhomogeneous slab geometry in reflecting boundary condition.it proves the transport operator generates a C0 semigroup and the second-order remained term of the Dyson-Phillips expansion for the C0 semigroup is compact in Lp(1
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| Keywords: | transport operator reflecting boundary condition second-order remained term compactness dominand eigenvalue |
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