Recherche - Archive ouverte HAL Accéder directement au contenu

Filtrer vos résultats

39 résultats
Image document

Fourier-integral-operator approximation of solutions to first-order hyperbolic pseudodifferential equations I: convergence in Sobolev spaces

Jérôme Le Rousseau
Communications in Partial Differential Equations, 2006, 31, pp.867-906. ⟨10.1080/03605300600635079⟩
Article dans une revue hal-00003815v3
Image document

Représentation Microlocale de Solutions de Systèmes Hyperboliques, Application à l'Imagerie, et Contributions au Contrôle et aux Problèmes Inverses pour des Equations Paraboliques

Jérôme Le Rousseau
Mathématiques [math]. Université de Provence - Aix-Marseille I, 2007
HDR tel-00201887v2
Image document

On the controllability of linear parabolic equations with an arbitrary control location for stratified media

Assia Benabdallah , Yves Dermenjian , Jérôme Le Rousseau
Comptes rendus hebdomadaires des séances de l'Académie des sciences, 2007, 344 (6), pp.357-362. ⟨10.1016/j.crma.2007.01.012⟩
Article dans une revue hal-00132289v1
Image document

Geometric control condition for the wave equation with a time-dependent observation domain

Jérôme Le Rousseau , Gilles Lebeau , Peppino Terpolilli , Emmanuel Trélat
Analysis & PDE, 2017, 10 (4), pp.983--1015
Article dans une revue hal-01342398v2
Image document

Controllability of a parabolic system with a diffusive interface

Jérôme Le Rousseau , Matthieu Léautaud , Luc Robbiano
Journal of the European Mathematical Society, 2013, 15 (4), pp.1485-1574. ⟨10.4171/JEMS/397⟩
Article dans une revue hal-00618234v1
Image document

Carleman estimates and controllability results for the one-dimensional heat equation with BV coefficients

Jérôme Le Rousseau
Journal of Differential Equations, 2007, 233, pp.417-447. ⟨10.1016/j.jde.2006.10.005⟩
Article dans une revue hal-00105669v2
Image document

Uniform null-controllability properties for space/time-discretized parabolic equations

Franck Boyer , Florence Hubert , Jérôme Le Rousseau
Numerische Mathematik, 2011, 118, pp 601-661. ⟨10.1007/s00211-011-0368-1⟩
Article dans une revue istex hal-00429197v1
Image document

Carleman estimates for elliptic operators with complex coefficients Part II: transmission problems

Mourad Bellassoued , Jérôme Le Rousseau
Journal de Mathématiques Pures et Appliquées, 2018, 115, pp.127-186. ⟨10.1016/j.matpur.2018.04.001⟩
Article dans une revue hal-01312627v1

Control of partial differential equations

Fatiha Alabau-Boussouira , Roger Brockett , Olivier Glass , Jérôme Le Rousseau , Enrique Zuazua
Cannarsa, Piermarco and Coron, Jean-Michel. Springer, 2048, pp.344, 2012, Lecture Notes in Mathemics
Ouvrages hal-00770036v1
Image document

Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications to controllability and an inverse problem

Assia Benabdallah , Yves Dermenjian , Jérôme Le Rousseau
Journal of Mathematical Analysis and Applications, 2007, 336 (2), pp.865-887. ⟨10.1016/j.jmaa.2007.03.024⟩
Article dans une revue hal-00017486v1

On the approximation of the null-controllability problem for parabolic equations

Franck Boyer , Florence Hubert , Jérôme Le Rousseau
18th Conference on Scientific Computing Vysoké Tatry, Mar 2009, Podbanske, Slovakia. pp.101-110
Communication dans un congrès hal-00839312v1
Image document

Pseudodifferential multi-product representation of the solution operator of a parabolic equation

Hiroshi Isozaki , Jérôme Le Rousseau
Comm. Partial Differential Equations, 2009, 34 (7), pp.625 - 655. ⟨10.1080/03605300903017330⟩
Article dans une revue hal-00216207v2
Image document

Carleman estimate for elliptic operators with coefficients with jumps at an interface in arbitrary dimension and application to the null controllability of linear parabolic equations

Jérôme Le Rousseau , Luc Robbiano
Archive for Rational Mechanics and Analysis, 2010, 195, pp.953-990. ⟨10.1007/s00205-009-0242-9⟩
Article dans une revue hal-00193885v2
Image document

Stability of discontinuous diffusion coefficients and initial conditions in an inverse problem for the heat equation

Assia Benabdallah , Patricia Gaitan , Jérôme Le Rousseau
SIAM Journal on Control and Optimization, 2007, 46 (5), pp.1849-1881. ⟨10.1137/050640047⟩
Article dans une revue hal-00016490v3
Image document

Discrete Carleman estimates for elliptic operators and uniform controllability of semi-discretized parabolic equations

Franck Boyer , Florence Hubert , Jérôme Le Rousseau
Journal de Mathématiques Pures et Appliquées, 2010, 93 (3), pp.240-273. ⟨10.1016/j.matpur.2009.11.003⟩
Article dans une revue hal-00366496v2
Image document

On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations

Jérôme Le Rousseau , Gilles Lebeau
ESAIM: Control, Optimisation and Calculus of Variations, 2012, 18, pp.712-747. ⟨10.1051/cocv/2011168⟩
Article dans une revue hal-00351736v4
Image document

Fourier-integral operator approximation of solutions to first-order hyperbolic pseudodifferential equations II: microlocal analysis

Jérôme Le Rousseau , Gunther Hormann
Journal de Mathématiques Pures et Appliquées, 2006, 86, pp.403-426. ⟨10.1016/j.matpur.2006.08.004⟩
Article dans une revue hal-00005759v1

Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I

Jérôme Le Rousseau , Gilles Lebeau , Luc Robbiano
Springer International Publishing, 97, 2022, Progress in Nonlinear Differential Equations and Their Applications, ⟨10.1007/978-3-030-88674-5⟩
Ouvrages hal-03866673v1
Image document

Semi-Classical Observation Suffices for Observability: Wave and Schrödinger Equations

Nicolas Burq , Belhassen Dehman , Jérôme Le Rousseau
ESAIM: Control, Optimisation and Calculus of Variations, 2024, 30, pp.10. ⟨10.1051/cocv/2023069⟩
Article dans une revue hal-04489225v1
Image document

Controllability of two coupled wave equations on a compact manifold

Belhassen Dehman , Jérôme Le Rousseau , Matthieu Léautaud
Archive for Rational Mechanics and Analysis, 2014, 211 (1), pp.113-187. ⟨10.1007/s00205-013-0670-4⟩
Article dans une revue hal-00686967v2
Image document

Null-controllability of the Kolmogorov equation in the whole phase space

Jérôme Le Rousseau , Iván Moyano
Journal of Differential Equations, 2016, 260, pp.3193-3233. ⟨10.1016/j.jde.2015.09.062⟩
Article dans une revue hal-01134917v2
Image document

Carleman estimates for elliptic operators with complex coefficients. Part I: boundary value problems

Mourad Bellassoued , Jérôme Le Rousseau
Journal de Mathématiques Pures et Appliquées, 2015, 104 (4), pp.657-728. ⟨10.1016/j.matpur.2015.03.011⟩
Article dans une revue hal-00843207v4
Image document

Semi-classical observation suffices for observability : wave and Schrödinger equations

Nicolas Burq , Belhassen Dehman , Jérôme Le Rousseau
2023
Pré-publication, Document de travail hal-04113164v2
Image document

Local and global Carleman estimates for parabolic operators with coefficients with jumps at interfaces

Jérôme Le Rousseau , Luc Robbiano
Inventiones Mathematicae, 2011, Vol.183 (2), pp.245-336. ⟨10.1007/s00222-010-0278-3⟩
Article dans une revue hal-00397223v2
Image document

Fourier-integral-operator product representation of solutions to first-order symmetrizable hyperbolic systems

Jérôme Le Rousseau
J. Analyse Math., 2009, 109, pp.81-162. ⟨10.1007/s11854-009-0029-9⟩
Article dans une revue hal-00194089v2
Image document

Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications

Assia Benabdallah , Yves Dermenjian , Jérôme Le Rousseau
Comptes Rendus Mécanique, 2006, 334 (10), pp.582-586. ⟨10.1016/j.crme.2006.07.001⟩
Article dans une revue hal-00463326v1
Image document

On Carleman estimates with two large parameters

Jérôme Le Rousseau
Indiana University Mathematics Journal, 2015, 64, pp.55-113. ⟨10.1512/iumj.2015.64.5397⟩
Article dans une revue hal-00738717v4
Image document

Carleman estimates for anisotropic elliptic operators with jumps at an interface

Jérôme Le Rousseau , Nicolas Lerner
Anal. PDE, 2013, 6 (7), pp.1601-1648. ⟨10.2140/apde.2013.6.1601⟩
Article dans une revue hal-00546869v2

Inoceramid extinction in the Gubbio basin (northeastern Apennines of Italy) and relations with mid-Maastrichtian environmental changes

Hervé Chauris , Jerome Le Rousseau , Bernard Beaudoin , S Propson , Alessandro Montanari
Palaeogeography, Palaeoclimatology, Palaeoecology, 1998, 139 (3-4), pp.177-193. ⟨10.1016/S0031-0182(97)00150-8⟩
Article dans une revue istex hal-01143810v1
Image document

Measure propagation along C^0-vector field and wave controllability on a rough compact manifold

Nicolas Burq , Belhassen Dehman , Jérôme Le Rousseau
2023
Pré-publication, Document de travail hal-03866679v2