Spectral theory and time asymptotics of size-structured two-phase population models
Idioma
en
Article de revue
Este ítem está publicado en
Discrete and Continuous Dynamical Systems - Series B. 2020, vol. 25, n° 8, p. 2969-3004
American Institute of Mathematical Sciences
Resumen en inglés
This work provides a general spectral analysis of size-structured two-phase population models. Systematic functional analytic results are given. We deal first with the case of finite maximal size. We characterize the ...Leer más >
This work provides a general spectral analysis of size-structured two-phase population models. Systematic functional analytic results are given. We deal first with the case of finite maximal size. We characterize the irreducibility of the corresponding L 1 semigroup in terms of properties of the different parameters of the system. We characterize also the spectral gap property of the semigroup. It turns out that the irreducibility of the semigroup implies the existence of the spectral gap. In particular, we provide a general criterion for asynchronous exponential growth. We show also how to deal with time asymptotics in case of lack of irreducibility. Finally, we extend the theory to the case of infinite maximal size.< Leer menos
Palabras clave en inglés
irreducibility
essential type
spectral gap
asynchronous exponential growth
Orígen
Importado de HalCentros de investigación