Julien Royer

32
Documents

Publications

Publications

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Magnetic Dirac operator in strips submitted to strong magnetic fields

Loïc Le Treust , Nicolas Raymond , Julien Royer

Journal of Spectral Theory, 2025, 15 (2), pp.847-894. ⟨10.4171/JST/539⟩

Article dans une revue hal-04691264v2
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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-03380292v1
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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-03420199v1
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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-03652993v1
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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-03678608v1
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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-03618415v3
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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-02738864v1
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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-02356746v2
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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-02058665v2
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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-01890232v3
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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-01490420v1
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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-01583499v1
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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-01328865v2
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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-01259468v1
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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-01449405v1
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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-01158244v1
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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-01163000v3
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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-01155498v1
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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-01310683v1
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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-01088162v1
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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-00943287v1
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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-00784668v1
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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-00954688v2
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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-00578417v1
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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-00918736v1
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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-00434327v1
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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-00380641v2

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-00634571v1
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The Damped Wave Equation and other Evolution Problems involving Non-selfadjoint Operators

Julien Royer

Mathematical Physics [math-ph]. Université Paul Sabatier (Toulouse 3), 2022

HDR tel-03905989v1