| 一类具非正则条件的迁移算子A的谱 |
| |
| 引用本文： | 吴红星,张慧慧,袁邓彬. 一类具非正则条件的迁移算子A的谱[J]. 上饶师范学院学报, 2012, 0(3): 26-29 |
| |
| 作者姓名： | 吴红星 张慧慧 袁邓彬 |
| |
| 作者单位： | 上饶师范学院 |
| |
| 基金项目： | 江西省自然科学基金资助课题(2010GZC185,20114BAB211007);上饶师范学院科技项目资助课题(201010) |
| |
| 摘 要： | 在L1空间中讨论了一类具非正则条件的迁移算子的谱,在扰动算子K是非正则和m>3的条件下,证明了该C0半群V(t)的Dyson-Phillips展开式的余项R2m+1(t)在L1空间中弱紧,从而得到了文献[3]的主要结果,并得到了C0半群U(t)和C0半群V(t)有相同的本质谱型。
|
| 关 键 词： | 广义边界条件 非正则性 弱紧性 离散本征值 本质谱 |
The Spectrum of Transport Operator a without Regularity Condition |
| |
| WU Hong-xing,ZHANG Hui-hui,YUAN Deng-bin. The Spectrum of Transport Operator a without Regularity Condition[J]. Journal of Shangrao Normal College, 2012, 0(3): 26-29 |
| |
| Authors: | WU Hong-xing ZHANG Hui-hui YUAN Deng-bin |
| |
| Affiliation: | (Shangrao Normal University,Shangrao Jiangxi 334001,China) |
| |
| Abstract: | The objective of this paper is to discuss the spectra of transport operator without regularity condition in L1 space.With the conditions of without regularity and m>3,it proves that the remained term R2m+1(t) of Dyson-Phillips expansion of the C0 semigroup V(t) is weakly compact in L1 space,and it obtains the main results of [3],and gets the C0 semigroups U(t) and C0 semigroup V(t) have the same essential type. |
| |
| Keywords: | General boundary condition without regularity weakly compactness isolated eigenvalue essential spectrum |
| 本文献已被 CNKI 维普 等数据库收录！ |
