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。
The objective of this paper is to discuss the spectra of transport operator without regularity condition in L1 space. With the conditions af without regularity and m 〉 3, it proves that the remained term R2m+ 1 (t) of Dyson- Phillips expansion of the Co semigroup V(t) is weakly compact in L1 space, and it obtains the main results of [3],and gets the Co semigroups U(t) and Co semi- group V(t) have the same essential type.
出处
《上饶师范学院学报》
2012年第3期26-29,共4页
Journal of Shangrao Normal University
基金
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)
关键词
广义边界条件
非正则性
弱紧性
离散本征值
本质谱
General boundary condition
without regularity
weakly compactness
isolated eigenvalue
essential spectrum