| 板几何中一类具抽象边界条件迁移算子的谱 |
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| 引用本文： | 王胜华,黄伟.板几何中一类具抽象边界条件迁移算子的谱[J].应用泛函分析学报,2011,13(3):267-273. |
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| 作者姓名： | 王胜华 黄伟 |
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| 作者单位： | 1. 上饶师范院数学系,上饶,334000
2. 南昌大学数学系,南昌,330031 |
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| 基金项目： | 江西省自然科学基金(2010GZC0185); 江西省教育厅科技资助项目(GJJ10609) |
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| 摘 要： | 在LP（1≤P〈∞）空间上，研究了板几何中一类具抽象边界条件下各向异性、连续能量、非均匀介质的迁移方程，证明了这类方程相应的迁移算子的谱在右半平面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： | 迁移算子 抽象边界条件 离散本征值 |
Spectrum of Transport Operator with Abstract Boundary Conditions in Slab Geometry |
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| WANG Shengua,HUANG Wei.Spectrum of Transport Operator with Abstract Boundary Conditions in Slab Geometry[J].Acta Analysis Functionalis Applicata,2011,13(3):267-273. |
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| Authors: | WANG Shengua HUANG Wei |
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| Institution: | WANG Shengua~1,HUANG Wei~2 1.Department of Mathematics,Shangrao Normal University,Shangrao 334000,China 2.Department of Mathematics,Nanchang University,Nanchang 330031,China |
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| Abstract: | The objective of this paper is to research transport equations with anisotropic continuous energy inhomogeneous slab geometry for abstract boundary condition in Lp space. It proves thespectrum of the transport operator only consist of finitely many isolate eigenvalues which have a finite algebraic multiplicity in trip Г. |
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| Keywords: | transport operator abstract boundary condition isolated eigenvalue |
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