activity
20092016
most citedAsymptotic behavior of coupled dynamical systems with multiscale aspects

1 citations · 3 across the 5 of their papers we have counts for

collaborators

6 papers

math.OC2016

Asymptotic behavior of gradient-like dynamical systems involving inertia and multiscale aspects

Hedy Attouch, Marc-Olivier Czarnecki

In a Hilbert space , we study the asymptotic behaviour, as time variable goes to , of nonautonomous gradient-like dynamical systems involving inertia and m…

math.OC2016★ 1 cited

Asymptotic behavior of nonautonomous monotone and subgradient evolution equations

Hedy Attouch, Alexandre Cabot, Marc-Olivier Czarnecki

In a Hilbert setting , we study the asymptotic behavior of the trajectories of nonautonomous evolution equations , where for each , $A_t:H\tto…

math.OC2014★ 1 cited

Splitting forward-backward penalty scheme for constrained variational problems

Marc-Olivier Czarnecki, Nahla Noun, Juan Peypouquet

We study a forward backward splitting algorithm that solves the variational inequality \begin{equation*} A x +\nabla Φ(x)+ N_C (x) \ni 0 \end{equation*} where is a real Hilbert…

math.CA2009★ 1 cited

Asymptotic behavior of coupled dynamical systems with multiscale aspects

Hedy Attouch, Marc-Olivier Czarnecki

We study the asymptotic behavior, as time t goes to infinity, of nonautonomous dynamical systems involving multiscale features. These systems model the emergence of various collect…

math.OC2009

Representations of epi-Lipschitzian sets

Marc-Olivier Czarnecki, Anastasia Nikolaevna Gudovich

A closed subset of a Banach space is \ep, i.e., can be represented locally as the epigraph of a Lipschitz function, if and only if it is the level set of some locally Lipsc…

math.FA2009

Volume of tubes, non polynomial behavior

J. -F. Crouzet, M. -0. Czarnecki

The behavior of the volume of the tube of distance r, around a given compact set M, is an old and important question with relations to many fields, like differential geometry, geom…