数学物理学报 ›› 2014, Vol. 34 ›› Issue (6): 1592-1598.

• 论文 • 上一篇    下一篇

种群细胞中一类迁移算子的谱分析

王胜华|贾善德|袁邓彬   

  1. 上饶师范学院 江西上饶 334001
  • 收稿日期:2013-11-21 修回日期:2014-10-26 出版日期:2014-12-25 发布日期:2014-12-25
  • 基金资助:
    国家自然科学基金(11461055)、江西省自然科学基金资助项目(20132BAB201002)和江西省教育厅科技项目(GJJ13706)资助

Spectral Analysis of a Transport Operators in Cell Population

 WANG Sheng-Hua, JIA Shan-De, YUAN Deng-Bin   

  1. Shangrao Normal University, Jiangxi Shangrao 334001
  • Received:2013-11-21 Revised:2014-10-26 Online:2014-12-25 Published:2014-12-25
  • Supported by:
    国家自然科学基金(11461055)、江西省自然科学基金资助项目(20132BAB201002)和江西省教育厅科技项目(GJJ13706)资助

摘要:

Lp(1≤p<+∞)空间上, 研究了种群细胞中一类具扰动项的L-R模型的迁移方程, 证明了这类模型相应的迁移算子产生的正C0半群是紧的, 从而得到了该迁移算子的谱仅由可数个具有限代数重数的离散本征值组成, 且-∞是唯一可能的聚点等结果.

关键词: 种群细胞, 具扰动项的L-R模型, 迁移方程, 紧半群, 谱分析

Abstract:

This paper is to research the transport equations of an age structured proliferating cell populations in Lp-space
 (1≤p<+∞). It is to prove that the C0 semigroups by the transport operators is compact, and it is to obtain that the spectrum of the transport operators is countable and consists of, at most, isolate eigenvalues with finite algebraic multiplicity with -∞ as the only possible limit point.

Key words: Cell populations, L-R model of perturbation term, Transport equation, Compact semigroup, Spectral analysis

中图分类号: 

  • 47G20