Spectra of structured diffusive population equations with generalized Wentzell-Robin boundary conditions and related topics

Mustapha Mokhtar-Kharroubi

doi:10.3934/dcdss.2020244

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2020, Volume 13, Issue 12: 3551-3563. Doi: 10.3934/dcdss.2020244

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Spectra of structured diffusive population equations with generalized Wentzell-Robin boundary conditions and related topics

Mustapha Mokhtar-Kharroubi^,

Laboratoire de Mathématiques, CNRS-UMR 6623, Université de Bourgogne Franche-Comté, 16 Route de Gray, Besançon, 25030, France

^* Corresponding author: Mustapha Mokhtar-Kharroubi
^* Corresponding author: Mustapha Mokhtar-Kharroubi

Received: December 31, 2018

Early access: January 2020

Published: August 2020

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Abstract

This paper provides two different extensions of a previous joint work "Time asymptotics of structured populations with diffusion and dynamic boundary conditions; Discrete Cont Dyn Syst, Series B, 23 (10) (2018)" devoted to asynchronous exponential asymptotics for bounded and weakly compact reproduction operators. The first extension considers bounded non weakly compact reproduction operators while the second extension deals with unbounded kernel reproduction operators and needs, as a preliminary step, a new generation result.

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Mathematics Subject Classification: Primary: 47D06, 92D25, 35B40, 35B50.

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