Publications (371)
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
Entropy solutions to the obstacle problem for nonlinear elliptic problems with variable exponent and L1-data.
S. Ouaro, S. Traoré
We establish for L1-data, existence, uniqueness and continuous dependence results to the obstacle problem for nonlinear elliptic equations with variable exponent, where the variable exponent is supposed only measurable. Other classical results about stability properties of the corresponding coincidence set and the Lewy-Stampacchia inequalities(...)
obstacle problem; variable exponent; entropy solutions; weak energy solutions; coincidence set; Lewy-Stampacchia inequalities
ARTICLE
Uniqueness of entropy solutions to nonlinear elliptic-parabolic problems.
S. Ouaro, H. Touré
We study the Cauchy problem associated with the nonlinear elliptic-parabolic equation
b(u)t−a(u,φ(u)x)x=f.
We prove an L1-contraction principle and hence the uniqueness of entropy solutions, under rather general assumptions on the data.
Elliptic; parabolic; degenerate; weak solution; entropy solution; L1-contraction principle
ARTICLE
Entropy solutions of nonlinear elliptic-parabolic-hyperbolic degenerate problems in one dimension.
S. Ouaro
If I is an open bounded interval and T>0, the initial-boundary-value problem
(EP)⎧⎩⎨⎪⎪b(u)t−a(u,φ(u)x)x=fb(u)=v0u=0in Q=]0,T[×I,on {0}×Ion Γ=]0,T[×∂I
is under consideration, where a:(z,ξ)∈ℝ×ℝ→ℝ is continuous, nondecreasing in ξ∈ℝ with a(0,0)=0; b:ℝ→ℝ is continuous, nondecreasing and surjective with b(0)=0; and φ:ℝ→ℝ is continuous, nondecre(...)
initial-boundary-value problem; homogeneous Dirichlet conditions
ARTICLE
Continuous dependence of solutions to nonlinear elliptic-parabolic-hyperbolic problem in one dimension
S. Ouaro, B. K. Bonzi
We consider a nonlinear elliptic-parabolic-hyperbolic equation of the form:
b(u)t−a(u,φ(u)x)x=f.
We show the continuous dependence of the “mild solution” of the associated Cauchy problem with respect to the data a, f and v0 without Alt and Luckhaus structure condition.
Cauchy problem
ARTICLE
Entropy solutions of a stationary problem associated to a nonlinear parabolic strongly degenerate problem in one space dimension.
S. Ouaro
We study a nonlinear elliptic degenerate equation with the form: b(u)−a(u,φ(u)x)x=f which is associated to the elliptic-parabolic-hyperbolic equation of the form: b(u)t−a(u,φ(u)x)x=f. We prove in this work without Alt and Luckhaus structure condition existence and uniqueness of entropy solutions of the associated Dirichlet problem. We also def(...)
elliptic; parabolic; hyperbolic; weak solution; entropy solution
ARTICLE
On some nonlinear elliptic-parabolic equations of second order
S. Ouaro, H. Touré
We study a nonlinear elliptic-parabolic PDE in one-dimensional space with the form: b(u)t−a(u,φ(u)x)x=f. Using the nonlinear semigroups theory in Banach spaces, we establish existence and uniqueness of mild solutions of the associated Cauchy problem under general assumptions on the data. We prove under additional assumptions, that mild solutio(...)
one space dimension; nonlinear semigroups; mild solutions
ARTICLE
Sur un problème de type elliptique parabolique non linéaire
S. Ouaro, H. Touré
We study the general equation b(u)t=a(u,φ(u)x)x+f of elliptic-parabolic type. Using the theory of evolution equation governed by an accretive operator, we establish existence and uniqueness of mild solutions to the associate Cauchy problem, under general assumptions on the data. With an additional structural condition of Alt-Luckhauss type, we(...)
mild solutions; Cauchy problem; structural condition of Alt-Luckhauss type; weak solutions
ARTICLE
Etude d’une équation elliptique associée à un problème parabolique-elliptique non linéaire
S. Ouaro, H. Touré
We study the general equation b(u)−a(u,φ(u)x)x=f of second order elliptic type, which may degenerate onto a first order equation for some value of u. We introduce for that a notion of entropy type solution for the elliptic problem. We define an L1 operator associated to the equation. We show that the operator is accretive in L1, with dense dom(...)
elliptic equation; weak solution; entropy solution; accretive operator
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