| 板几何中一类具反射边界条件的奇异迁移算子的谱 |
| |
| 引用本文： | 王胜华,翁云芳,袁邓彬.板几何中一类具反射边界条件的奇异迁移算子的谱[J].应用泛函分析学报,2009,11(1):47-54. |
| |
| 作者姓名： | 王胜华 翁云芳 袁邓彬 |
| |
| 作者单位： | 1. 南昌大学数学系,南昌,330047
2. 上饶师范学院数学与计算机系,上饶,334001 |
| |
| 摘 要： | 在L^p（1〈P〈∞）空间上研究板几何中一类具反射边界条件下各向异性、连续能量、均匀介质的奇异迁移方程．证明其奇异迁移算子产生C0半群和该半群的Dyson-Phillips展开式的二阶余项是紧的，且得到了该算子的谱在区域Г中由具有限代数重数的离散本征值组成等结果．
|
| 关 键 词： | 奇异迁移方程 反射边界条件 C0半群 二阶余项 |
The Spectrum of Singular Transport Operator with a Reflecting Boundary Conditions Slab Geometry Conditions in Slab Geometry |
| |
| WANG Sheng-hua,WENG Yun-fang,YUAN Deng-bin.The Spectrum of Singular Transport Operator with a Reflecting Boundary Conditions Slab Geometry Conditions in Slab Geometry[J].Acta Analysis Functionalis Applicata,2009,11(1):47-54. |
| |
| Authors: | WANG Sheng-hua WENG Yun-fang YUAN Deng-bin |
| |
| Affiliation: | 1. Department of Mathematical and Computer, Shangrao Normal University, Shangrao 334001, China 2. Department of Mathematical in NanchangUniversity, Nanchang 330047, China) |
| |
| Abstract: | The objective of this paper is to research singular transport equations with anisotropic continuous energy homogeneous slab geometry for a reflecting boundary condition in Lp space. It proves the singular transport operator generates a strongly continuous Co semigroup V（t）（t ≥0） and the compactness properties of the second-order remained term of the Dyson-Phillips expansion for the Co semigroup V（t）（t ≥0） in Lp space, and to obtain the spectrum of the transport operator consist of isolate eigenvalues which have a finite algebraic multiplicity in trip Г. |
| |
| Keywords: | singular transport operator reflecting boundary condition Co semigroup second-order remained |
| 本文献已被 维普 万方数据 等数据库收录！ |
