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30 results on '"Castaing, Charles"'

1. BV right continuous solutions of differential inclusions involving time dependent maximal monotone operators

Author

Azzam-Laouir, Dalila, Castaing, Charles, and Marques, M. D. P. Monteiro

Subjects
Mathematics - Classical Analysis and ODEs, 34H05, 34K35, 60H10 28A25, 28C20
Abstract

This paper is devoted to the study of evolution problems involving time dependent maximal monotone operators, which are right continuous and bounded in variation with respect to the Vladimirov's pseudo distance. Several variants and applications are presented.

Published
2021

4. Sweeping Processes Perturbed by Rough Signals

Author

Castaing, Charles, Marie, Nicolas, Raynaud de Fitte, Paul, Morel, Jean-Michel, Editor-in-Chief, Teissier, Bernard, Editor-in-Chief, Baur, Karin, Series Editor, Brion, Michel, Series Editor, Figalli, Alessio, Series Editor, Huber, Annette, Series Editor, Khoshnevisan, Davar, Series Editor, Kontoyiannis, Ioannis, Series Editor, Kunoth, Angela, Series Editor, Székelyhidi, László, Series Editor, Mézard, Ariane, Series Editor, Podolskij, Mark, Series Editor, Serfaty, Sylvia, Series Editor, Vezzosi, Gabriele, Series Editor, Wienhard, Anna, Series Editor, Donati-Martin, Catherine, editor, Lejay, Antoine, editor, and Rouault, Alain, editor

Published
2022
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7. Sweeping Processes Perturbed by Rough Signals

Author

Castaing, Charles, Marie, Nicolas, and De Fitte, Paul Raynaud

Subjects
Mathematics - Probability, 34H05, 34K35, 60H10
Abstract

This paper deals with the existence, the uniqueness and an approximation scheme of the solution to sweeping processes perturbed by a continuous signal of finite $p$-variation with $p\in [1,3[$. It covers pathwise stochastic noises directed by a fractional Brownian motion of Hurst parameter greater than $1/3$., Comment: 27 pages

Published
2017

17. Séminaire de Probabilités LI

Author

Karandikar, R. L., Rao, B. V., Leuridan, Christophe, Vidmar, Matija, Miclo, Laurent, Patie, Pierre, Bernou, Armand, Caballero, Maria-Emilia, Rouault, Alain, Dedecker, Jérôme, Merlevède, Florence, Rio, Emmanuel, Brosset, Fabien, Klein, Thierry, Lagnoux, Agnès, Petit, Pierre, Marinelli, Carlo, Scarpa, Luca, Castaing, Charles, Marie, Nicolas, Fitte, Paul Raynaud De, Attal, Stéphane, Deschamps, Julien, Pellegrini, Clément, Eisenbaum, Nathalie, Chennai Mathematical Institute [Inde], Institut Fourier (IF), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA), Department of Mathematics (University of Ljubljana), University of Ljubljana, Toulouse School of Economics (TSE-R), Université Toulouse 1 Capitole (UT1), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-École des hautes études en sciences sociales (EHESS)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE), School of Operations Research and Information Engineering (ORIE), Cornell University [New York], Laboratoire Jacques-Louis Lions (LJLL (UMR_7598)), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité), Instituto de Matematicas (UNAM), Universidad Nacional Autónoma de México = National Autonomous University of Mexico (UNAM), Laboratoire de Mathématiques de Versailles (LMV), Université de Versailles Saint-Quentin-en-Yvelines (UVSQ)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Mathématiques Appliquées Paris 5 (MAP5 - UMR 8145), Université Paris Descartes - Paris 5 (UPD5)-Institut National des Sciences Mathématiques et de leurs Interactions (INSMI)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Analyse et Mathématiques Appliquées (LAMA), Université Paris-Est Créteil Val-de-Marne - Paris 12 (UPEC UP12)-Centre National de la Recherche Scientifique (CNRS)-Université Gustave Eiffel, Institut de Mathématiques de Toulouse UMR5219 (IMT), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université Fédérale Toulouse Midi-Pyrénées-Institut National des Sciences Appliquées (INSA)-Université Toulouse - Jean Jaurès (UT2J)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS), Ecole Nationale de l'Aviation Civile (ENAC), University College of London [London] (UCL), Faculty of Mathematics [Vienna], University of Vienna [Vienna], Université de Montpellier (UM), Modélisation aléatoire de Paris X (MODAL'X), Université Paris Nanterre (UPN), Laboratoire de Mathématiques Raphaël Salem (LMRS), Université de Rouen Normandie (UNIROUEN), Normandie Université (NU)-Normandie Université (NU)-Centre National de la Recherche Scientifique (CNRS), Institut Camille Jordan [Villeurbanne] (ICJ), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet [Saint-Étienne] (UJM)-Centre National de la Recherche Scientifique (CNRS), Università degli studi di Genova = University of Genoa (UniGe), Institut National des Sciences Mathématiques et de leurs Interactions (INSMI)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité), Donati-Martin, Catherine, Lejay, Antoine, Rouault, Alain, Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT)-Université de Toulouse (UT)-École des hautes études en sciences sociales (EHESS)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS), Institut Camille Jordan (ICJ), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS), Équations aux dérivées partielles, analyse (EDPA), and Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Lyon (ECL)

Subjects
[MATH.MATH-PR]Mathematics [math]/Probability [math.PR], ComputingMilieux_MISCELLANEOUS
Abstract

International audience

Published
2022

21. Mixed semi-continuous perturbation of time -dependent maximal monotone operators and subdifferentials

Author

Castaing, Charles, Godet-Thobie, Christiane, Saïdi, Soumia, Monteiro Marques, Manuel, Université de Montpellier (UM), Laboratoire de Mathématiques de Bretagne Atlantique (LMBA), Université de Brest (UBO)-Université de Bretagne Sud (UBS)-Centre National de la Recherche Scientifique (CNRS), CNRS: UMR 6205, Laboratoire de mathématiques de Brest (LM), Université de Brest (UBO)-Institut Brestois du Numérique et des Mathématiques (IBNM), Université de Brest (UBO)-Centre National de la Recherche Scientifique (CNRS)-Université de Brest (UBO)-Institut Brestois du Numérique et des Mathématiques (IBNM), Université de Brest (UBO)-Centre National de la Recherche Scientifique (CNRS), LMPA, FSEI, Mohammed Seddik Ben Yahia University, Jijel-Algeria, and Universidade de Lisboa (ULISBOA)

Subjects
pseudo-distance, 35B10 maximal monotone operator, perturbation, subdifferential operator, 34B15, [MATH]Mathematics [math], 49J52, mixed semi-continuity, Mathematics Subject Classification (2010). 34A60, evolution inclusion, 47H10, 49J53
Abstract

We are concerned in the present work with the existence of absolutely continuous solutions to a class of evolution problems governed by time-dependent maximal monotone operators A(t) of the form − du dt (t) ∈ A(t)u(t) + f (t, u(t)) + F (t, u(t)), where the perturbation is a sum of a mixed semi-continuous compact set-valued map F and a singlevalued map f. New variants dealing with a class of time-dependant subdifferential operators of the form − du dt (t) ∈ ∂ϕ(t, u(t)) + f (t, u(t)) + F (t, u(t)) are also investigated. Some applications are given.

Published
2021

24. LIPSCHITZ PERTURBATION TO EVOLUTION INCLUSION DRIVEN BY TIME-DEPENDENT MAXIMAL MONOTONE OPERATORS.

Author

CASTAING, CHARLES and SAÏDI, SOUMIA

Subjects
MONOTONE operators, PERTURBATION theory, LIPSCHITZ spaces, FRACTIONAL calculus, MAXIMAL functions
Abstract

An evolution inclusion driven by a time-dependent maximal monotone operator and a Lipschitz closed valued perturbation, in a separable Hilbert space is considered. The inclusion with a convexified perturbation term is also studied. Then, the existence of solutions and the relaxation property between these evolution inclusions are proved. Applications to dynamical systems governed by a couple of a fractional equation and an evolution inclusion involving time-dependent maximal monotone operators with a Lipschitz perturbation are presented. [ABSTRACT FROM AUTHOR]

Published
2021
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26. Sweeping Processes Perturbed by Rough Signals

Author

Castaing , Charles, Marie , Nicolas, Raynaud De Fitte , Paul, Université de Montpellier ( UM ), Modélisation aléatoire de Paris X ( MODAL'X ), Université Paris Nanterre ( UPN ), ESME Sudria [Paris], Laboratoire de Mathématiques Raphaël Salem ( LMRS ), Université de Rouen Normandie ( UNIROUEN ), and Normandie Université ( NU ) -Normandie Université ( NU ) -Centre National de la Recherche Scientifique ( CNRS )

Subjects
Mathematics::Probability, Probability (math.PR), FOS: Mathematics, [ MATH.MATH-PR ] Mathematics [math]/Probability [math.PR], 34H05, 34K35, 60H10, Mathematics - Probability
Abstract

This paper deals with the existence, the uniqueness and an approximation scheme of the solution to sweeping processes perturbed by a continuous signal of finite $p$-variation with $p\in [1,3[$. It covers pathwise stochastic noises directed by a fractional Brownian motion of Hurst parameter greater than $1/3$., Comment: 27 pages

Published
2017
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27. Multi-valued perturbation to evolution problems involving time dependent maximal monotone operators.

Author

Azzam-Laouir, Dalila, Belhoula, Warda, Castaing, Charles, and Marques, M. D. P. Monteiro

Subjects
MONOTONE operators, HILBERT space, BIOLOGICAL evolution
Abstract

In this paper, we study the existence of solutions for evolution problems of the form − du/dr(t) ∈ A(t)u(t) + F(t,u(t)) + f(t,u(t)), where, for each t, A(t) : D(A(t)) → 2H, is a maximal monotone operator in a Hilbert space H with continuous, Lipschitz or absolutely continuous variation in time. The perturbation ƒ is separately integrable on [0, T] and separately Lipschitz on H, while F is scalarly measurable and separately scalarly upper semicontinuous on H, with convex and weakly compact values. Several new applications are provided. [ABSTRACT FROM AUTHOR]

Published
2020
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28. A Skorokhod problem governed by a closed convex moving set

Author

Castaing, Charles, Monteiro Marques, Manuel, Raynaud de Fitte, Paul, CMAF, Centro de Matemática e Aplicações Fundamentais (CMAF), Universidade de Lisboa (ULISBOA)-Universidade de Lisboa (ULISBOA), Laboratoire de Mathématiques Raphaël Salem (LMRS), Université de Rouen Normandie (UNIROUEN), and Normandie Université (NU)-Normandie Université (NU)-Centre National de la Recherche Scientifique (CNRS)

Subjects
martingale solution, Mathematics::Probability, Skorokhod problem, sweeping process, normal cone, bounded variation, differential measure, stochastic differential equation, [MATH]Mathematics [math], MSC 34A60 (49J45 49J52 60G40 60H10), Young measure
Abstract

International audience; We present several results in Skorokhod problems governed by a sweeping process with application to a Skorokhod differential equation in both deterministic and stochastic cases. In particular, we study a Skorokhod evolution inclusion involving the normal cone of a closed convex moving set with nonempty interior via Young measures.

Published
2016

30. Perturbed Evolution Problems with Continuous Bounded Variation in Time and Applications.

Author

Azzam-Laouir, Dalila, Castaing, Charles, and Monteiro Marques, M. D. P.

Abstract

This paper is devoted to the study of evolution problems of the form −dudr(t)∈A(t)u(t)+f(t,u(t)) in a new setting, where, for each t, A(t) : D(A(t)) → 2H is a maximal monotone operator in a Hilbert space H and the mapping t↦A(t) has continuous bounded or Lipschitz variation on [0, T], in the sense of Vladimirov’s pseudo-distance. The measure dr gives an upper bound of that variation. The perturbation f is separately integrable on [0, T] and separately Lipschitz on H. Several versions and new applications are presented. [ABSTRACT FROM AUTHOR]

Published
2018
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