Ouahiba Zair

Ouahiba Zair
University of Science and Technology Houari Boumediene | usthb · Department of Analysis

About

10
Publications
593
Reads
How we measure 'reads'
A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more
76
Citations
Citations since 2017
2 Research Items
35 Citations
201720182019202020212022202302468
201720182019202020212022202302468
201720182019202020212022202302468
201720182019202020212022202302468

Publications

Publications (10)
Article
In this paper, we prove controllability results for a two-dimensional semilinear heat equation with mixed boundary conditions. It is well-known that mixed boundary conditions can present a singular behaviour of the solution. First, we will prove global Carleman estimates then we will use these inequalities to obtain controllability results.
Article
We study the boundary stabilization of the wave equation by a nonlinear feedback active on a part of the boundary in geometric situations for which the solutions have singularities. These singularities appear at the interfaces at which the mixed Neumann Dirichlet boundary conditions meet. Under a simple geometrical condition concerning the orientat...
Article
In this work we give a null-controllability result for the semi-linear heat equation in a polygonal or cracked bounded domain of . We suppose that the nonlinearity grows slower than as and then we prove our result by using Schauder's fixed point theorem.
Article
We consider an inverse problem of determining point sources in vibrating plate by boundary measurements. We show that the boundary observation of the domain determines uniquely the sources for an arbitrarily small time of observation and we establish a conditional stability.
Article
It is well known that in a regular domain, the solutions of the Laplace equation with mixed boundary conditions can present a singular part. In this work, we prove a Carleman estimate for the two dimensional domain heat equation in presence of these singularities.
Article
We consider the Cauchy problem associated to the heat equation firstly in a plane domain with a reentrant corner, then in a cracked domain. By constructing a weight function, we prove a Carleman inequality and we deduce a result of controllability.
Article
We consider the Cauchy problem associated to the heat equation firstly in a plane domain with a reentrant corner, then in a cracked domain. By constructing a weight function, we show a result of null controllability using Carleman estimates.
Article
Full-text available
We consider two inverse problems concerning the first and second Petrovsky system of determining point sources ξ k , weights d k and the number K in vibrating beams, governed by the equation ∂ t 2 u(t,x)+u (4) (x,t)=λ(t)∑ k=1 K α k δ(x-ξ k )in]0,1[×]0,T[, by boundary measurements. We show that the boundary observation at one extremity of the domain...
Article
Full-text available
We consider the inverse problem of determining point wave sources in heteregeneous trees, extensions of one-dimensional stratified sets. We show that the Neumann boundary observation on a part of the lateral boundary determines uniquely the point sources if the time of observation is large enough. We further establish a conditional stability and gi...
Article
We consider the inverse problem of determining one emerging crack in a plane heterogeneous medium. We show that one measurement on a part of the boundary with appropriate flux uniquely determines such a crack. We further establish a local Lipschitz continuity result. At the end, we give an approximation result for the nonstationary heat equation. C...

Network

Cited By