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Fourier-integral-operator approximation of solutions to first-order hyperbolic pseudodifferential equations I: convergence in Sobolev spaces
Jérôme Le Rousseau
Journal articles
hal-00003815v3
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Stability of discontinuous diffusion coefficients and initial conditions in an inverse problem for the heat equation
Assia Benabdallah
,
Patricia Gaitan
,
Jérôme Le Rousseau
Journal articles
hal-00016490v3
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On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations
Jérôme Le Rousseau
,
Gilles Lebeau
Journal articles
hal-00351736v4
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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
Journal articles
hal-00193885v2
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Pseudodifferential multi-product representation of the solution operator of a parabolic equation
Hiroshi Isozaki
,
Jérôme Le Rousseau
Journal articles
hal-00216207v2
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Fourier-integral operator approximation of solutions to first-order hyperbolic pseudodifferential equations II: microlocal analysis
Jérôme Le Rousseau
,
Gunther Hormann
Journal articles
hal-00005759v1
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Discrete Carleman estimates for elliptic operators and uniform controllability of semi-discretized parabolic equations
Franck Boyer
,
Florence Hubert
,
Jérôme Le Rousseau
Journal articles
hal-00366496v2
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Carleman estimates for elliptic operators with complex coefficients Part II: transmission problems
Mourad Bellassoued
,
Jérôme Le Rousseau
Journal articles
hal-01312627v1
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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 articles
hal-00017486v1
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Control of partial differential equations
Fatiha Alabau-Boussouira
,
Roger Brockett
,
Olivier Glass
,
Jérôme Le Rousseau
,
Enrique Zuazua
et al.
Cannarsa, Piermarco and Coron, Jean-Michel. Springer, 2048, pp.344, 2012, Lecture Notes in Mathemics
Books
hal-00770036v1
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Carleman estimates and controllability results for the one-dimensional heat equation with BV coefficients
Jérôme Le Rousseau
Journal articles
hal-00105669v2
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Uniform null-controllability properties for space/time-discretized parabolic equations
Franck Boyer
,
Florence Hubert
,
Jérôme Le Rousseau
Journal articles
istex
hal-00429197v1
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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
Conference papers
hal-00839312v1
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Controllability of two coupled wave equations on a compact manifold
Belhassen Dehman
,
Jérôme Le Rousseau
,
Matthieu Léautaud
Journal articles
hal-00686967v2
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Null-controllability of the Kolmogorov equation in the whole phase space
Jérôme Le Rousseau
,
Iván Moyano
Journal articles
hal-01134917v2
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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⟩
Books
hal-03866673v1
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Carleman estimates for elliptic operators with complex coefficients. Part I: boundary value problems
Mourad Bellassoued
,
Jérôme Le Rousseau
Journal articles
hal-00843207v4
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Carleman estimates for stratified media
Assia Benabdallah
,
Yves Dermenjian
,
Jérôme Le Rousseau
Journal articles
hal-00529924v2
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Spectral inequality and resolvent estimate for the bi-Laplace operator
Jérôme Le Rousseau
,
Luc Robbiano
Journal of the European Mathematical Society, 2020, 22 (4), pp.1003-1094. ⟨10.4171/JEMS/939⟩
Journal articles
hal-01194748v5
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Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II
Jérôme Le Rousseau
,
Gilles Lebeau
,
Luc Robbiano
Springer International Publishing, 98, 2022, Progress in Nonlinear Differential Equations and Their Applications, ⟨10.1007/978-3-030-88670-7⟩
Books
hal-03866675v1
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MEASURE PROPAGATION ALONG C^0-VECTOR FIELD AND WAVE CONTROLLABILITY ON A ROUGH COMPACT MANIFOLD
Nicolas Burq
,
Belhassen Dehman
,
Jérôme Le Rousseau
2022
Preprints, Working Papers, ...
hal-03866679v1
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Carleman estimates and controllability results for the one-dimensional heat equation with {\em BV} coefficients
Jérôme Le Rousseau
Journal articles
hal-00463330v1
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On the controllability of linear parabolic equations with an arbitrary control location for stratified media
Assia Benabdallah
,
Yves Dermenjian
,
Jérôme Le Rousseau
Journal articles
hal-00132289v1
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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
Habilitation à diriger des recherches
tel-00201887v2
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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⟩
Journal articles
hal-00618234v1
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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
Journal articles
hal-01342398v2
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Local and global Carleman estimates for parabolic operators with coefficients with jumps at interfaces
Jérôme Le Rousseau
,
Luc Robbiano
Journal articles
hal-00397223v2
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Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications
Assia Benabdallah
,
Yves Dermenjian
,
Jérôme Le Rousseau
Journal articles
hal-00463326v1
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Fourier-integral-operator product representation of solutions to first-order symmetrizable hyperbolic systems
Jérôme Le Rousseau
Journal articles
hal-00194089v2
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On Carleman estimates with two large parameters
Jérôme Le Rousseau
Journal articles
hal-00738717v4
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