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math.AP2024
Solvability of a transmission problem in -spaces with generalized diffusion equation
Alexandre Thorel
We study a transmission problem, in population dynamics, between two juxtaposed habitats. In each habitat, we consider a generalized diffusion equation composed by the Laplace oper…
math.AP2024
Semigroups generated in Lp-spaces by some dispersal process including semi-permeability conditions at the interface
Laïd Djilali, Rabah Labbas, Ahmed Medeghri +2
We study an elliptic differential equation set in two habitats under semi-permeability conditions at the interface. This equation describes some dispersal process in population dyn…
math.AP2024
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…