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Exponential stabilization of waves for the Zaremba boundary condition

Pierre Cornilleau , Luc Robbiano
2021
Pré-publication, Document de travail hal-03364288v1
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Unicité du problème de Cauchy. Ensembles nodaux. Régularité des problèmes elliptiques

Luc Robbiano
Mathématiques [math]. Université Paris-Sud, 1990. Français. ⟨NNT : ⟩
Thèse tel-04166847v1
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Null-controllability for a fourth order parabolic equation under general boundary conditions

Emmanuel Wend-Benedo Zongo , Luc Robbiano
2023
Pré-publication, Document de travail hal-04194655v1

Observability and stabilization of magnetic Schrödinger equations

Kaïs Ammari , Mourad Choulli , Luc Robbiano
Journal of Differential Equations, 2019, 267 (5), pp.3289-3327. ⟨10.1016/j.jde.2019.04.006⟩
Article dans une revue hal-04480588v1
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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⟩
Article dans une revue hal-00618234v1

Local well-posedness and blow up in the energy space for a class of L2 critical dispersion generalized Benjamin-Ono equations

Carlos E. Kenig , Yvan Martel , Luc Robbiano
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2011, 28, pp.853-887
Article dans une revue hal-00658956v1
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Spectral analysis on interior transmission eigenvalues

Luc Robbiano
Inverse Problems, 2013, 29 (10), pp.104001. ⟨10.1088/0266-5611/29/10/104001⟩
Article dans une revue hal-00782744v2
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Semi-classical defect measure and internal stabilization for the semilinear wave equation subject to Zaremba boundary conditions

Marcelo M Cavalcanti , Pierre Cornilleau , Valéria N. Domingos Cavalcanti , Luc Robbiano , Valéria N Domingos Cavalcanti
2021
Pré-publication, Document de travail hal-03394819v1
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STABILITY ESTIMATE IN THE INVERSE SCATTERING FOR A SINGLE QUANTUM PARTICLE IN AN EXTERNAL SHORT-RANGE POTENTIAL

Luc Robbiano , Mourad Bellassoued
2018
Pré-publication, Document de travail hal-01867691v1
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Logarithmic Decay of a Wave Equation with Kelvin-Voigt Damping

Luc Robbiano , Qiong Zhang
2018
Pré-publication, Document de travail hal-01866131v1
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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⟩
Article dans une revue hal-01194748v5
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The Kato smoothing effect for Schr{ö}dinger equations with unbounded potentials in exterior domains

Luc Robbiano , Claude Zuily
International Mathematics Research Notices, 2009, 9, pp.1636-1698
Article dans une revue hal-00113059v1
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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
Archive for Rational Mechanics and Analysis, 2010, 195, pp.953-990. ⟨10.1007/s00205-009-0242-9⟩
Article dans une revue hal-00193885v2
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Stabilization of fractional evolution systems with memory

Kaïs Ammari , Fathi Hassine , Luc Robbiano
Journal of Evolution Equations, 2021, 21 (1), pp.831-844. ⟨10.1007/s00028-020-00603-z⟩
Article dans une revue hal-03993032v1
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Comments on observability and stabilization of magnetic Schrödinger equations

Kaïs Ammari , Mourad Choulli , Luc Robbiano
2019
Pré-publication, Document de travail hal-01634340v3
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Degenerate parabolic operators of Kolmogorov type with a geometric control condition.

Karine Beauchard , Bernard Helffer , Raphael Henry , Luc Robbiano
2013
Pré-publication, Document de travail hal-00863056v1
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The Kato Smoothing Effect for Regularized Schrödinger Equations in Exterior Domains

Lassaad Aloui , Moez Khenissi , Luc Robbiano
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, In press
Article dans une revue hal-00683876v1
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Remark on the Kato smoothing effect for Schrödinger equation with superquadratic potentials

Luc Robbiano , Claude Zuily
Communications in Partial Differential Equations, 2008, 33 (4), pp.718-727. ⟨10.1080/03605300701517861⟩
Article dans une revue hal-00105280v1
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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

Strichartz Estimates for Schrödinger Equations with Variable Coefficients

Luc Robbiano , Claude Zuily
Mémoires de la Société Mathématique de France, 2005, 101-102, pp.1-208
Article dans une revue hal-00125110v1
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Carleman estimates for the Zaremba Boundary Condition and Stabilization of Waves

Pierre Cornilleau , Luc Robbiano
American Journal of Mathematics, 2014, 136, pp.393-444. ⟨10.1353/ajm.2014.0014⟩
Article dans une revue hal-00634867v2
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Counting function for interior transmission eigenvalues

Luc Robbiano
Mathematical Control and Related Fields, 2016, 6, pp.167-183. ⟨10.3934/mcrf.2016.6.167⟩
Article dans une revue hal-00875903v1