Spectral Distribution of Transport Operator Arising in Growing Cell Populations. (25th August 2014)

• Record Type: Journal Article
• Authors: Wu, Hongxing; Wang, Shenghua; Yuan, Dengbin
• Other Names: Olszowy Leszek Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2014(2014)
• Publication Date: 2014-08-25
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2014/748792
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Transport equation with partly smooth boundary conditions arising in growing cell populations is studied inL p ( 1 < p < + ∞ ) space. It is to prove that the transport operatorA H generates aC 0 semigroup and the ninth-order remainder termR 9 ( t ) of the Dyson-Phillips expansion of the semigroup is compact, and the spectrum of transport operatorA H consists of only finite isolated eigenvalues with finite algebraic multiplicities in a tripΓ ω . The main methods rely on theory of linear operators, comparison operators, and resolvent operators approach.