Publications

• Article dans une revue

Fully coupled forward backward stochastic differential equations driven by Lévy processes and application to differential games

Fouzia Baghery, Nabil Khelfallah, Brahim Mezerdi, Isabelle Massa-Turpin

We consider a fully coupled forward backward stochastic differential equation driven by a Lévy processes having moments of all orders and an independent Brownian motion. Under some monotonicity assumptions, we prove the existence and uniqueness of solutions on an arbitrarily fixed large time…

Random Operators and Stochastic Equations, 2014, 22 (3), pp.151-161. ⟨10.1515/rose-2014-0016⟩. ⟨hal-03359276⟩

• Article dans une revue

Stabilization of second-order evolution equations with time delay

Serge Nicaise, Cristina Pignotti

We consider second-order evolution equations in an abstract setting with damping and time delay and give sufficient conditions ensuring exponential stability. Our abstract framework is then applied to the wave equation, the elasticity system and the Petrovsky system.

Mathematics of Control, Signals, and Systems, 2014, 26 (4), pp.563-588. ⟨10.1007/s00498-014-0130-1⟩. ⟨hal-03159120⟩

• Article dans une revue

Polynomial stabilization of some dissipative hyperbolic systems

Kaïs Ammari, E. Feireisl, Serge Nicaise

We study the problem of stabilization for the acoustic system with a spatially distributed damping. Imposing various hypotheses on the structural properties of the damping term, we identify either exponential or polynomial decay of solutions with growing time. Exponential decay rate is shown by…

Discrete and Continuous Dynamical Systems - Series A, 2014, 34 (11), pp.4371-4388. ⟨10.3934/dcds.2014.34.4371⟩. ⟨hal-03138443⟩

• Chapitre d'ouvrage

Introduction à la théorie des sous- et sur-solutions

Colette De Coster, Jalel Tabka

“Introduction à quelques problèmes d’EDP : notes du groupe de travail de l’équipe EDP du Laboratoire de Mathématiques et leurs Applications de Valenciennes, Ed. Universitaires Européennes, pp.1-41, 2014, 9786131506833. ⟨hal-03142454⟩

• Article dans une revue

Cohomological equations and invariant distributions on a compact Lie group

Aziz El Kacimi Alaoui, Hadda Hmili

This paper deals with two analytic questions on a connected compact Lie group G. i) Let a ε G and denote by γ the diffeomorphism of G given by γ (x) = ax (left translation by a). We give necessary and sufficient conditions for the existence of solutions of the cohomological equation f - fo γ = g on…

Hokkaido Mathematical Journal, 2014, 43 (2), pp.151-173. ⟨10.14492/hokmj/1404229920⟩. ⟨hal-03164536⟩

• Article dans une revue

A priori error estimates for finite element methods for H(2;1)-elliptic equations

Thomas Apel, T. Flaig, Serge Nicaise, Thomas G Flaig

The convergence of finite element methods for linear elliptic boundary value problems of second and forth order is well understood. In this article, we introduce finite element approximations of some linear semi-elliptic boundary value problem of mixed order on a two-dimensional rectangular domain…

Numerical Functional Analysis and Optimization, 2014, 35 (2), pp.153-176. ⟨10.1080/01630563.2013.811600⟩. ⟨hal-03138800⟩

• Chapitre d'ouvrage

Exponential stability of the wave equation with memory and anti–damping/time delay

Fatiha Alabau-Boussouira, Serge Nicaise, Cristina Pignotti

Favini, Angelo; Fragnelli, Genni; Mininni, Rosa Maria. New Prospects in Direct, Inverse and Control Problems for Evolution Equations, Springer Verlag, pp.1-22, 2014, Springer INdAM Series. ⟨hal-03227639⟩

• Chapitre d'ouvrage

Problèmes d’évolution sur des multi-structures

Abderrahman Maghnouji

Introduction à quelques problèmes d’EDP : notes du groupe de travail de l’équipe EDP du Laboratoire de Mathématiques et leurs Applications de Valenciennes, Ed. Universitaires Européennes, pp.43-84, 2014, 9786131506833. ⟨hal-03142458⟩

• Chapitre d'ouvrage

Refined Mixed finite element method for the Laplace equation in a nonconvex polygonal domain

Luc Paquet

Introduction à quelques problèmes d’EDP : notes du groupe de travail de l’équipe EDP du Laboratoire de Mathématiques et leurs Applications de Valenciennes, Ed. Universitaires Européennes, pp.125-154, 2014, 9786131506833. ⟨hal-03142466⟩

• Article dans une revue

On Steinitz classes of nonabelian Galois extensions and p-ary cyclic Hamming codes

Maya Farhat, Bouchaïb Sodaïgui

Let k be a number field and Cl(k) its class group. Let Γ be a finite group. Let Rt(k,Γ) be the subset of Cl(k) consisting of those classes which are realizable as Steinitz classes of tamely ramified Galois extensions of k with Galois group isomorphic to Γ. Let p be a prime number. In the present…

Journal of Number Theory, 2014, 134, pp.93-108. ⟨10.1016/j.jnt.2013.07.003⟩. ⟨hal-03149645⟩