Spectral Distribution of Transport Operator Arising in Growing Cell Populations

Abstract EN

Transport equation with partly smooth boundary conditions arising in growing cell populations is studied in L p ( 1 < p < + ∞ ) space.

It is to prove that the transport operator A H generates a C 0 semigroup and the ninth-order remainder term R 9 ( t ) of the Dyson-Phillips expansion of the semigroup is compact, and the spectrum of transport operator A H consists of only finite isolated eigenvalues with finite algebraic multiplicities in a trip Γ ω .

The main methods rely on theory of linear operators, comparison operators, and resolvent operators approach.