4 citations · 8 across the 12 of their papers we have counts for
12 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…
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…
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…
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 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…
Generalized diffusion problems in a conical domain, 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 [14], leads us to invert a sum of linear ope…
Generalized diffusion problems in a conical domain, 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…
A biharmonic transmission problem in Lp-spaces
Alexandre Thorel
In this work we study, by a semigroup approach, a transmission problem based on biharmonic equations with boundary and transmission conditions, in two juxtaposed habitats. We give…
Generation of analytic semigroup for some generalized diffusion operators in Lp-spaces
Rabah Labbas, Stéphane Maingot, Alexandre Thorel
We consider five different abstract Cauchy problems where the operator is of fourth order. For each problem, using semigroups techniques and functional calculus, we study the inver…
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…
An integrated semigroup approach for age structured equations with diffusion and non-homogeneous boundary conditions
Arnaud Ducrot, Pierre Magal, Alexandre Thorel
In this work, we consider a linear age-structured problem with diffusion and non-homogeneous boundary conditions both for the age and the space variables. We handle this linear pro…