数学物理学报 ›› 2010, Vol. 30 ›› Issue (4): 1055-1061.

• 论文 • 上一篇    下一篇

人体细胞增生中一类迁移算子的谱分析

王胜华1, 翁云芳1, 阳名珠2   

  1. 1.上饶师范学院数学与计算机系 |江西上饶 334000;
    2.中国原子能科学研究院 北京 102413
  • 收稿日期:2007-10-11 修回日期:2009-08-12 出版日期:2010-07-25 发布日期:2010-07-25
  • 基金资助:

    江西省自然科学基金(2007GZS0105)资助

Spectrum Analysis of |Transport Operators in the Growing Cell Populations

 WANG Sheng-Hua1, WENG Yun-Fang1, YANG Ming-Zhu2   

  1. 1.Department of Mathematics and Computer, Shangrao Normal College, Jiangxi Shangrao 334001;
    2.China Institute of Atomic Energy, Beijing 102314
  • Received:2007-10-11 Revised:2009-08-12 Online:2010-07-25 Published:2010-07-25
  • Supported by:

    江西省自然科学基金(2007GZS0105)资助

摘要:

该文在Lp(1≤ p <+∞)空间上, 研究了人体细胞增生中具一般边界条件的Rotenberg模型的迁移方程, 证明了这类迁移算子A产生C0半群及本征值的存在性,得到了该迁移算子的谱在区域Γ中仅由有限个具有限代数重数的离散本征值组成等结果.

关键词: Rotenberg模型, 迁移算子, C0半群, 一般边界条件, 本征值

Abstract:

The objective of this paper is to research the transport equations of Rotenberg's model general boundary condition in the growing cell populations in Lp-space (1≤p <+∞). It is shown the transport operator A generates C0 semigroup and  the existece of the eigenvalue, so it is  obtained that the spectrum of the transport operators only consisting of finitely isolate eigenvalues with finite algebraic multiplicities in the trip Γ.

Key words: Rotenbergs model, Transport operators, C0 semigroup, General boundary condition, Eigenvalue

中图分类号: 

  • 47D