Publications

• Article dans une revue

Exponential stability of abstract evolution equations with time delay

Serge Nicaise, Cristina Pignotti

We consider abstract semilinear evolution equations with a time-delay feedback. We show that, if the C (0)-semigroup describing the linear part of the model is exponentially stable, then the whole system retains this good property when a suitable smallness condition on the time-delay feedback is…

Journal of Evolution Equations, 2014, 15 (1), pp.107-129. ⟨10.1007/s00028-014-0251-5⟩. ⟨hal-03166075⟩

• 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

Minimal contact CR submanifolds in S2 n+1 satisfying the δ(2)-Chen equality

Marian Ioan Munteanu, Luc Vrancken

In his book on Pseudo-Riemannian geometry, δ-invariants and applications, B.Y. Chen introduced a sequence of curvature invariants. Each of these invariants is used to obtain a lower bound for the length of the mean curvature vector for an immersion in a real space form. A submanifold is called an…

Journal of Geometry and Physics, 2014, 75, pp.92-97. ⟨10.1016/j.geomphys.2013.09.003⟩. ⟨hal-03184628⟩

• 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

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

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

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⟩

• 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⟩

• Chapitre d'ouvrage

Existence, stability and controllability results for the heteregeneous Maxwell equations

Serge Nicaise

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.85-124, 2014, 9786131506833. ⟨hal-03142464⟩

• 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⟩