Senghua Wang, Guofei Cheng, Dengbin Yuan, "Spectral Analysis of Transport Operator in Lebowitz-Rubinow Model," WSEAS Transactions on Mathematics, vol. 13, pp. 324-334, 2014, DOI:
Senghua Wang, Guofei Cheng, Dengbin Yuan. Spectral Analysis of Transport Operator in Lebowitz-Rubinow Model.
WSEAS Transactions on Mathematics. 2014;13:324-334.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
Spectral Analysis of Transport Operator in Lebowitz-Rubinow Model
Authors: , ,
Abstract: In this paper, we deal with the Lebowitz-Rubinow model of an age structured proliferating cell population in Lp-space (1 ≤ p < +∞). It is to prove that the C0 semigroups generated by the transport operator is compact for the boundary operator 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, we are to obtain that the spectrum of the transport operators only consists of finitely isolate eigenvalues with finite algebraic multiplicities in the right half plane trip for the boundary operator is not compact, also we show that the asymptotic behavior of the transport equation’s solution.
Pages: 324-334 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #30 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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