Julien Royer

33
Documents

Publications

Publications

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Magnetic Dirac operator in strips submitted to strong magnetic fields

Loïc Le Treust , Julien Royer , Nicolas Raymond
Journal of Spectral Theory, In press
Article dans une revue hal-04691264 v2
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Low frequency asymptotics and local energy decay for the Schrödinger equation

Julien Royer
Journal of the European Mathematical Society, 2024, ⟨10.4171/jems/1429⟩
Article dans une revue hal-03380292 v1
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Spectrum of the wave equation with Dirac damping on a non-compact star graph

David Krejcirik , Julien Royer
Proceedings of the American Mathematical Society, 2023, 151, pp.4673-4691. ⟨10.1090/proc/16412⟩
Article dans une revue hal-03652993 v1
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On Duclos-Exner's conjecture about waveguides in strong uniform magnetic fields

Enguerrand Bon-Lavigne , Loïc Le Treust , Nicolas Raymond , Julien Royer
Forum of Mathematics, Sigma, 2023, 11, pp.e11. ⟨10.1017/fms.2023.9⟩
Article dans une revue hal-03678608 v1
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Null-controllability properties of the generalized two-dimensional Baouendi-Grushin equation with non-rectangular control sets

Jérémi Dardé , Armand Koenig , Julien Royer
Annales Henri Lebesgue, 2023, 6, pp.1479-1522. ⟨10.5802/ahl.193⟩
Article dans une revue hal-03618415 v3
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Energy decay for a system of Schrödinger equations in a wave guide

Radhia Ayechi , Ilhem Boukhris , Julien Royer
Journal of Mathematical Physics, 2023, 64 (11), ⟨10.1063/5.0147011⟩
Article dans une revue hal-03420199 v1
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CRITICAL TIME FOR THE OBSERVABILITY OF KOLMOGOROV-TYPE EQUATIONS

Jérémi Dardé , Julien Royer
Journal de l'École polytechnique — Mathématiques, 2021, ⟨10.5802/jep.160⟩
Article dans une revue hal-02738864 v1
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Spectrum of a non-selfadjoint quantum star graph

Gabriel Riviere , Julien Royer
Journal of Physics A: Mathematical and Theoretical, 2020, 53, ⟨10.1088/1751-8121/abbfbe⟩
Article dans une revue hal-02356746 v2
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Absence of embedded eigenvalues for translationally invariant magnetic Laplacians

Nicolas Raymond , Julien Royer
Journal of Mathematical Physics, 2019, 60, ⟨10.1063/1.5097162⟩
Article dans une revue hal-02058665 v2
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Stability of Standing Waves for a Nonlinear Klein-Gordon Equation with Delta Potentials

Elek Csobo , François Genoud , Masahito Ohta , Julien Royer
Journal of Differential Equations, 2019, 268 (1), ⟨10.1016/j.jde.2019.08.015⟩
Article dans une revue hal-01890232 v3
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Energy decay and diffusion phenomenon for the asymptotically periodic damped wave equation

Romain Joly , Julien Royer
Journal of the Mathematical Society of Japan, 2018, 70 (4), ⟨10.2969/jmsj/77667766⟩
Article dans une revue hal-04104894 v1
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Energy decay for the Klein-Gordon equation with highly oscillating damping

Julien Royer
Annales Henri Lebesgue, 2018, 1, ⟨10.5802/ahl.9⟩
Article dans une revue hal-01583499 v1
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Energy decay and diffusion phenomenon for the asymptotically periodic damped wave equation

Romain Joly , Julien Royer
Journal of the Mathematical Society of Japan, 2018, 70 (4)
Article dans une revue hal-01490420 v1
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Reduction of dimension as a consequence of norm-resolvent convergence and applications

David Krejcirik , Nicolas Raymond , Julien Royer , Petr Siegl
Mathematika, 2018, 64 (2), pp.406-429. ⟨10.1112/S0025579318000013⟩
Article dans une revue hal-01449405 v1
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Local Energy Decay and Diffusive Phenomenon in a Dissipative Wave Guide

Julien Royer
Journal of Spectral Theory, 2018, 8 (3)
Article dans une revue hal-01259468 v1
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Energy Decay in a Wave Guide with Dissipation at Infinity

Mohamed Malloug , Julien Royer
ESAIM: Control, Optimisation and Calculus of Variations, 2018, 24
Article dans une revue hal-01328865 v2
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Local decay for the damped wave equation in the energy space

Julien Royer
Journal of the Institute of Mathematics of Jussieu, 2018, 17 (3)
Article dans une revue hal-01158244 v1
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On the Cauchy problem and the black solitons of a singularly perturbed Gross-Pitaevskii equation

Isabella Ianni , Stefan Le Coz , Julien Royer
SIAM Journal on Mathematical Analysis, 2017, 49 (2), pp.1060-1099. ⟨10.1137/15M1029606⟩
Article dans une revue hal-01163000 v3
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Local energy decay and smoothing effect for the damped Schrödinger equation

Moez Khenissi , Julien Royer
Analysis & PDE, 2017, 10 (6)
Article dans une revue hal-01155498 v1
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Non-accretive Schrödinger operators and exponential decay of their eigenfunctions

David Krejcirik , Nicolas Raymond , Julien Royer , Petr Siegl
Israel Journal of Mathematics, 2017, 221 (2), pp.779-802. ⟨10.1007/s11856-017-1574-z⟩
Article dans une revue hal-01310683 v1
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Mourre's method for a dissipative form perturbation

Julien Royer
Journal of Operator Theory, 2016, 16 (2)
Article dans une revue hal-01088162 v1
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Sharp low frequency resolvent estimates on asymptotically conical manifolds

Jean-Marc Bouclet , Julien Royer
Communications in Mathematical Physics, 2015, 335 (2)
Article dans une revue hal-00943287 v1
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Semiclassical measure for the solution of the Helmholtz equation with an unbounded source

Julien Royer
Asymptotic Analysis, 2015, 91
Article dans une revue hal-00784668 v1
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Exponential decay for the Schrödinger equation on a dissipative waveguide

Julien Royer
Annales Henri Poincaré, 2015, 16 (8)
Article dans une revue hal-00954688 v2
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Uniform resolvent estimates for a non-dissipative Helmholtz equation

Julien Royer
Bulletin de la société mathématique de France, 2014, 142 (4), pp.591--633
Article dans une revue hal-00578417 v1
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Local Energy Decay for the Damped Wave Equation

Jean-Marc Bouclet , Julien Royer
Journal of Functional Analysis, 2014, 266 (7), pp.Pages 4538-4615. ⟨10.1016/j.jfa.2014.01.028⟩
Article dans une revue hal-00918736 v1
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Semiclassical measure for the solution of the dissipative Helmholtz equation

Julien Royer
Journal of Differential Equations, 2010, 249 (11), p. 2703-2756. ⟨10.1016/j.jde.2010.07.004⟩
Article dans une revue hal-00434327 v1
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Limiting absorption principle for the dissipative Helmholtz equation

Julien Royer
Communications in Partial Differential Equations, 2010, 25 (8), p. 1458-1489. ⟨10.1080/03605302.2010.490287⟩
Article dans une revue hal-00380641 v2

A traffic-flow model with constraints for the modeling of traffic jams

Florent Berthelin , Pierre Degond , Valérie Le Blanc , Salissou Moutari , Michel Rascle et al.
Mathematical Models and Methods in Applied Sciences, 2008, 18 (suppl.), pp.1269-1298. ⟨10.1142/S0218202508003030⟩
Article dans une revue hal-00634571 v1