人体细胞增生中一类迁移算子的谱分析

Abstract

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 L^p-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

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WANG Sheng-Hua, WENG Yun-Fang, YANG Ming-Zhu. Spectrum Analysis of |Transport Operators in the Growing Cell Populations[J].Acta mathematica scientia,Series A, 2010, 30(4): 1055-1061.

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References

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Spectrum Analysis of |Transport Operators in the Growing Cell Populations

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