板几何中迁移半群的本质谱型  

The Type of Essential Spectral to Transport Semigroup in Slab Geometry

作　　者：袁邓彬[1] 程国飞[1] 王胜华[1] YUAN Dengbin;CHENG Guofei;WANG Shenghua(School of Mathematics&Computer Science,Shangrao Normal University,Shangrao Jiangxi 334001,China)

机构地区：[1]上饶师范学院数学与计算机科学学院

出　　处：《上饶师范学院学报》2019年第6期1-4,共4页Journal of Shangrao Normal University

基　　金：国家自然科学基金(11461055);江西省教育厅科技项目(GJJ161051)

摘　　要：在L^1空间上,研究了一类具各向异性、非连续能量、均匀介质的迁移方程,通过构造算子方法和应用半群相关定理证明了这类迁移半群的Dyson-Phillips展开式的n阶余项R n(t)(n≥1)的弱紧性,从而得出该迁移半群本质谱相同和本质谱型的一致性等结果。This paper researches the transport equations with anisotropic uncontinuous energy homogeneous in L 1 space.It proves the compactness of the remainder term R n(t)(n≥1)of the Dyson-Phillips expansion about the corresponding transport semigroup for this model by using the so-called resolvent operator method and semigroup theory.In the last,it obtains that transport semigrup have the same essential spectral,the same type of the essential spectral and so on.

关 键 词：迁移方程 本质谱型 弱紧性 一致性 

分 类 号：O177.2[理学—数学]