种群细胞中一类迁移算子的谱分析

Spectral Analysis of a Transport Operators in Cell Population

在L^p(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C_0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.

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 Co 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.