Publications (223)
ARTICLE
Elliptic problem involving diffuse measure data
Noureddine Igbida, Stanislas Ouaro and Safimba Soma
In this paper, we study a suitable notion of solution for which a nonlinear elliptic problem governed by a general Leray–Lions operator is well posed for any diffuse measure data. In terms of the paper (Brezis et al., 2007, [10]), we study the notion of solution for which any diffuse measure is “good measure”.
Nonlinear elliptic, Diffuse measure, Biting lemma of Chacon, Maximal monotone graph, Radon measure data, Weak solution, Entropic solution, Leray–Lions operator
ARTICLE
Analytical and Stochastic Modelling of Battery Cell Dynamics
Ingemar Kaj; Victorien Konané
In this work we present and discuss a modelling framework for the basic discharge process which occurs in simple electrochemical battery cells. The main purpose is to provide a setting for analyzing delivered capacity, battery life expectancy and other measures of performance. This includes a number of deterministic and stochastic variations o(...)
Phase plane, Theoretical Capacity, Terminal Voltage, Nominal Capacity, Battery Model
ARTICLE
Weak solutions for some nonlinear elliptic problem with variable exponent and measure data
Stanislas Ouaro and Safimba Soma
We prove the existence of weak solutions to nonlinear elliptic equations with variable exponent and measure data. The functional setting involves Lebesgue-Sobolev spaces with variable exponent and Marcinkiewicz spaces.
generalised Lebesgue-Sobolev spaces, weak solution, bounded Radon measure, p(x)-Laplace operator, electrorheological fluids, Marcinkiewicz spaces
ARTICLE
Classification of traces and associated determinants on odd-class operators in odd dimensions
Carolina Neira Jiménez, Marie Françoise Ouedraogo
To supplement the already known classification of traces on classical pseu-dodifferential operators, we present a classification of traces on the algebras of odd-class pseudodifferential operators of non-positive order acting on smooth functions on a closed odd-dimensional manifold. By means of the one to one correspondence between continuous(...)
opérateurs pseudodifferentiels, classe impaire, trace, déterminant, logarithme
ARTICLE
The multiplicative anomaly for determinants revisited; locality
Marie Françoise Ouedraogo, Sylvie Paycha
Observing that the logarithm of a product of two elliptic operators differs from the sum of the logarithms by a finite sum of operator brackets, we infer that regularised traces of this difference are local as finite sums of noncommutative residues. From an explicit local formula for such regularised traces, we derive an explicit local formula(...)
pseudodifferential operators, noncommutative residue, canonical and weighted traces, zeta and weighted determinants
ARTICLE
WEAK SOLUTIONS FOR ANISOTROPIC NONLINEAR ELLIPTIC PROBLEM WITH VARIABLE EXPONENT AND MEASURE DATA
Blaise Kone , Stanislas Ouaro and Safimba Soma
We study in this paper the anisotropic nonlinear boundary value problem
N ∂ ∂u
− ∑∂x ai x,∂x =μ in Ω, u=0 on ∂Ω, where Ω is a smooth bounded open
i=1i i
domain in RN , N ≥ 3 and μ a bounded Radon measure. We prove the existence of a weak energy solution for this anisotropic nonlinear elliptic problem with different vari- able exponents,(...)
Generalized Lebesgue-Sobolev spaces, anisotropic Sobolev spaces, weak solution, bounded Radon measure, electrorheological fluids, Marcinkiewicz spaces
ARTICLE
Weak and entropy solutions to nonlinear Neumann boundary-value problems with variable exponents
Stanislas Ouaro and Safimba Soma
In this article, we study the following nonlinear Neumann boundary-value problem diva(x,ru)þjujp(x)2 u1⁄4f in , @u 1⁄4 0 on @, where is a
@
smooth bounded open domain in RN, N 3, @u is the outer unit normal @
derivative on @, div a(x, ru) a p(x)-Laplace type operator. We prove the existence and uniqueness of a weak solution for(...)
generalized Lebesgue and Sobolev spaces, weak solution, entropy solution, p(x)-Laplace operator
ARTICLE
Uniqueness of traces on log-polyhomogeneous pseudodifferential operators
Catherine Ducourtioux, Marie Françoise Ouedraogo
We show how to derive the uniqueness of graded or ordinary traces on some algebras of log-
polyhomogeneous pseudodifferential operators from the uniqueness of their restriction to classical
pseudodifferential ones
log-polyhomogeneous pseudodifferential operators
ARTICLE
A symmetrized canonical determinant on odd-class pseudodifferential operators
Marie Françoise Ouedraogo
Inspired by M. Braverman’s symmetrized determinant, we introduce a symmetrized logarithm logsym for certain elliptic
pseudodifferential operators. The symmetrized logarithm of an operator lies in the odd class whenever the operator does. Using the canonical trace extended to log-polyhomogeneous pseudodifferential operators, we define an assoc(...)
pseudodifferentiels operateurs, symmetrized trace, symmetrized determinant, holomorphic familly
ARTICLE
Local existence and regularity of solutions for some partial functional integrodifferential equations with infinite delay in Banach Spaces
Khalil Ezzinbi, Hamidou Toure, Issa Zabsonre
In this work, we study the existence and regularity of solutions for some partial functional integrodifferential equations with infinite delay in Banach spaces. We suppose that the undelayed part admits a resolvent operator in the sense of Grimmer [R. Grimmer, Resolvent operators for integral equations in a Banach space, Transactions of the Am(...)
Mots clés non renseignés
ARTICLE
Existence and regularity of solutions for some partial functional integrodifferential equations in Banach spaces
Khalil Ezzinbi, Hamidou Toure, Issa Zabsonre
In this work, we study the existence and regularity of solutions for some partial functional integrodifferential equations in Banach spaces. We suppose that the undelayed part admits a resolvent operator in the sense given by Grimmer in [R. Grimmer, Resolvent operators for integral equations in a Banach space, Transaction of American Mathemati(...)
Mots clés non renseignés
ARTICLE
Super-représentations faibles de superalgèbres de Malcev
Akry Koulibaly, Marie Françoise Ouedraogo
Cet article donne des propriétés de superalgèbres de Malcev sur un corps de caractéristique zéro. Nous généralisons le concept de représentation d'algèbres de Malcev aux superalgèbres de Malcev. Soit K un corps de caractéristique zéro. On sait qu'une superalgèbre est dite de Malcev si son enveloppe grassmannienne est une algèbre de Malcev. Co(...)
Algèbre de Malcev, superalgèbre de Malcev, superalgèbre triple de Lie, super-représentation de Malcev
ARTICLE
Supersystèmes triples de Lie associés aux superalgèbres de Malcev
Akry Koulibaly, Marie Françoise Ouedraogo
Dans cet article. Nous définissons les notions de superalgèbres triples de Lie et de super-systèmes triples de Lie. Nous montrons qu'une superalgèbre de Malcev peut être munie d'une structure de superalgèbre triple de Lie et aussi d'une structure de supersystème triple de Lie. Nous prolongeons la notion de super-représentation faible aux su(...)
superalgèbre de Malcev, super-représentation de Malcev