[1]王海燕,阳名珠,王文蔚.广义边界条件下球介质迁移算子的谱[J].东南大学学报(自然科学版),1989,19(5):9-17.[doi:10.3969/j.issn.1001-0505.1989.05.002]
 Wang Haiyan Yang Mingzhu* Wang Wenwei (Department of Mathematics and Mechanics) *Institute of Atomic Energy,Beijing.On the Spectrum of a Spherical Symmetric Transport Operator with Generalized Boundary Conditions[J].Journal of Southeast University (Natural Science Edition),1989,19(5):9-17.[doi:10.3969/j.issn.1001-0505.1989.05.002]
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广义边界条件下球介质迁移算子的谱()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
19
期数:
1989年第5期
页码:
9-17
栏目:
本刊信息
出版日期:
1989-09-20

文章信息/Info

Title:
On the Spectrum of a Spherical Symmetric Transport Operator with Generalized Boundary Conditions
作者:
王海燕阳名珠王文蔚
东南大学数学力学系; 中国原子能科学研究院; 东南大学数学力学系
Author(s):
Wang Haiyan Yang Mingzhu* Wang Wenwei (Department of Mathematics and Mechanics) *Institute of Atomic Energy Beijing
关键词:
迁移算子/本质谱 占优本征值
Keywords:
transport operator/essential spectrum dominate eigenvalue
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1989.05.002
摘要:
应用算子理论证明了迁移理论中出现的一类具广义反射边界条件及各向同性连续能量非均匀球对称模型下粒子迁移方程正解的存在唯一性,分析了由迁移方程所决定的迁移算子的谱,得到了离散本征值存在的充分条件以及具物理意义的占优本征值关于广义反射系数的单调性。
Abstract:
In this paper, we use the operator theory to prove the existence and uniqueness of the positive solution of partical transport equation, which is isotropic non-homogeneous spherically symmetric with continuous energy and generalized boundary condition arising in the transport theory. The spectrum of the transport operator is investigated and the sufficient conditions of the existence of the isolated eigenvalue are found. The dominate eigenvalue is proved to be monotonous with the general reflective function.
更新日期/Last Update: 2013-04-30