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pro vyhledávání: '"Thorel, Alexandre"'
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 dynamics. Using functional calculus and results in Lutz Weis [22] among o
Externí odkaz:
http://arxiv.org/abs/2406.08883
Publikováno v:
Bollettino dell'Unione Matematica Italiana, 2024
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 consider, to study and to invert the sum of linear operators (4) belo
Externí odkaz:
http://arxiv.org/abs/2403.02758
The purpose of this article (composed of two parts) is the study of the generalized dispersal operator of a reaction-diffusion equation in $L^p$-spaces set in the finite conical domain $S_{\omega,\rho}$ of angle $\omega>0$ and radius $\rho$ > 0 in $\
Externí odkaz:
http://arxiv.org/abs/2312.08406
After different variables and functions changes, the generalized dispersal problem, recalled in (1) below and considered in part I, see [14], leads us to invert a sum of linear operators in a suitable Banach space, see (2) below. The essential result
Externí odkaz:
http://arxiv.org/abs/2207.05405
Autor:
Thorel, Alexandre
Publikováno v:
Communications on Pure \& Applied Analysis, American Institute of Mathematical Sciences (AIMS) 2021
In this work we study, by a semigroup approach, a transmission problem based on biharmonic equations with boundary and transmission conditions, in two juxtaposed habitats. We give a result of existence and uniqueness of the classical solution in L p-
Externí odkaz:
http://arxiv.org/abs/2111.15346
We consider five different abstract Cauchy problems where the operator is of fourth order. For each problem, using semigroups techniques and functional calculus, we study the invertibility and the spectral properties of the fourth order operator to s
Externí odkaz:
http://arxiv.org/abs/2111.14402
We study the solvability of boundary-value problems for differential-operator equations of the second order in L p (0, 1; X), with 1 < p < +$\infty$, X being a UMD complex Banach space. The originality of this work lies in the fact that we have consi
Externí odkaz:
http://arxiv.org/abs/2111.02744
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 problem by re-writing it as a non-densely defined abstract Cauchy problem
Externí odkaz:
http://arxiv.org/abs/2105.07479
Autor:
Thorel, Alexandre
Le but de ce travail est l'étude d'un problème de transmission en dynamique de population entre deux habitats juxtaposés. Dans chacun des habitats, on considère une équation aux dérivées partielles, modélisant la dispersion généralisée, fo
Externí odkaz:
http://www.theses.fr/2018NORMLH07/document
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