Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (6): 1592-1598.

• Articles • Previous Articles     Next Articles

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

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

CLC Number: 

  • 47G20
Trendmd