5 papers
Analytic semigroup generated by the dispersal process of a sylvatic transmission model of Chagas disease
Narimene Benarbia, Rabah Labbas, Tewfik Mahdjoub +1
In this work, we develop a new biological transmission model for Chagas disease. This model, set in two juxtaposed habitats with skew Brownian motion conditions at the interface, i…
Elliptic differential-operator with an abstract Robin boundary condition containing two spectral parameters, study in a non commutative framework
Angelo Favini, Rabah Labbas, Stéphane Maingot +1
We study the solvability of boundary-value problems for differential-operator equations of the second order in L p (0, 1; X), with 1 < p < +, X being a UMD complex Banach s…
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…
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…
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…