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25 papers · 1 filter
Bounded imaginary powers of generalized diffusion operators
Alexandre Thorel
In this paper, we investigate the boundedness of the imaginary powers of four generalized diffusion operators. This key property, which implies the maximal regularity property, all…
Slowly oscillating periodic solutions in a nonlinear Volterra equation with non-symmetric feedback
Quentin Griette, Franco Herrera
In this work we study a nonlinear Volterra equation with non-symmetric feedback that arises as a particular case of the Gurtin-MacCamy model in population dynamics. We are particul…
Front propagation into unstable states for periodic monotone reaction-diffusion systems
Liangliang Deng, Arnaud Ducrot, Quentin Griette
In this paper we study the invasion fronts of spatially periodic monotone reaction-diffusion systems in a multi-dimensional setting. We study the pulsating traveling waves that con…
Solvability of a fourth order elliptic problem in a bounded sector, part II
Rabah Labbas, Stéphane Maingot, Alexandre Thorel
After different variables and functions changes, the generalized dispersal problem, recalled in (1) below and considered in part I, see Labbas, Maingot and Thorel [14], leads us to…
Solvability of a fourth order elliptic problem in a bounded sector, part I
Rabah Labbas, Stéphane Maingot, Alexandre Thorel
The purpose of this article (composed of two parts) is the study of the generalized dispersal operator of a reaction-diffusion equation in -spaces set in the finite conical do…
Robin Hood model versus Sheriff of Nottingham model: transfers in population dynamics
Quentin Griette, Pierre Magal
We study the problem of transfers in a population structured by a continuous variable corresponding to the quantity being transferred. The model takes the form of an integro-differ…