| 板几何中具广义边界条件的迁移算子的谱 |
| |
| 引用本文： | 吴红星,王胜华.板几何中具广义边界条件的迁移算子的谱[J].南昌大学学报(理科版),2009,33(5). |
| |
| 作者姓名： | 吴红星 王胜华 |
| |
| 作者单位： | 1. 南昌大学,数学系,江西,南昌,330031
2. 上饶师范学院,数学与计算机系,江西,上饶,334001 |
| |
| 基金项目： | 江西省自然科学基金资助课题 |
| |
| 摘 要： | 在L~p(1≤p≤∞)空间研究了板几何中具广义边界条件下各向异性、连续能量、非均匀介质的迁移算子的谱,证明了:这类迁移算子产生C_0半群和该C_0半群的Dyson-Phillips展开式的二阶余项在L~p(1≤p≤∞)空间是紧的及在L~1空间是弱紧的,并得到了该迁移算子在区域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.
|
| 关 键 词： | 迁移算子 广义边界条件 C_0半群 二阶余项 紧性 本征徝 |
The Spectrum of the Transport Operator with General Boundary Condition in Slab Geometry |
| |
| WU Hong-xing,WANG Sheng-hua.The Spectrum of the Transport Operator with General Boundary Condition in Slab Geometry[J].Journal of Nanchang University(Natural Science),2009,33(5). |
| |
| Authors: | WU Hong-xing WANG Sheng-hua |
| |
| Abstract: | The objective of this paper is to research spectral analysis of transport operator with anisotropic continuous energy nonhomogeneous with general boundary condition in slab geometry.It proves that the transport operator A generates a C_0 semigroup and the second-order remained term of the Dyson-Phillips expansion for the C_0 semigroup is compact in L~p(1
|
| |
| Keywords: | Transport operator general boundary condition C_0 semigroup second-order remained term compactness eigenvalue |
| 本文献已被 万方数据 等数据库收录！ |
