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Article dans une revue15 documents

  • Julien Royer. Local decay for the damped wave equation in the energy space. Journal of the Institute of Mathematics of Jussieu, Cambridge University Press (CUP), 2018, 17 (3). 〈hal-01158244〉
  • David Krejcirik, Nicolas Raymond, Julien Royer, Petr Siegl. Reduction of dimension as a consequence of norm-resolvent convergence and applications. Mathematika, University College London, 2018, 64 (2), pp.406-429. 〈10.1112/S0025579318000013〉. 〈hal-01449405〉
  • Mohamed Malloug, Julien Royer. Energy Decay in a Wave Guide with Dissipation at Infinity. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2018, 24. 〈hal-01328865v2〉
  • David Krejcirik, Nicolas Raymond, Julien Royer, Petr Siegl. Non-accretive Schrödinger operators and exponential decay of their eigenfunctions. Israël Journal of Mathematics, The Hebrew University Magnes Press, 2017, 221 (2), pp.779-802. 〈10.1007/s11856-017-1574-z〉. 〈hal-01310683〉
  • Isabella Ianni, Stefan Le Coz, Julien Royer. On the Cauchy problem and the black solitons of a singularly perturbed Gross-Pitaevskii equation. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2017, 49 (2), pp.1060-1099. 〈10.1137/15M1029606〉. 〈hal-01163000v3〉
  • Moez Khenissi, Julien Royer. Local energy decay and smoothing effect for the damped Schrödinger equation. Analysis & PDE, Mathematical Sciences Publishers, 2017, 10 (6). 〈hal-01155498〉
  • Julien Royer. Mourre's method for a dissipative form perturbation. Journal of Operator Theory, 2016, 16 (2). 〈hal-01088162〉
  • Jean-Marc Bouclet, Julien Royer. Sharp low frequency resolvent estimates on asymptotically conical manifolds. Communications in Mathematical Physics, Springer Verlag, 2015, 335 (2). 〈hal-00943287〉
  • Julien Royer. Semiclassical measure for the solution of the Helmholtz equation with an unbounded source. Asymptotic Analysis, IOS Press, 2015, 91. 〈hal-00784668〉
  • Julien Royer. Exponential decay for the Schrödinger equation on a dissipative waveguide. Annales Henri Poincaré, Springer Verlag, 2015, 16 (8). 〈hal-00954688v2〉
  • Julien Royer. Uniform resolvent estimates for a non-dissipative Helmholtz equation. Bulletin de la société mathématique de France, 2014, 142 (4), pp.591--633. 〈hal-00578417〉
  • Jean-Marc Bouclet, Julien Royer. Local Energy Decay for the Damped Wave Equation. Journal of Functional Analysis, Elsevier, 2014, 266 (7), pp.Pages 4538-4615. 〈10.1016/j.jfa.2014.01.028〉. 〈hal-00918736〉
  • Julien Royer. Limiting absorption principle for the dissipative Helmholtz equation. Communications in Partial Differential Equations, Taylor & Francis, 2010, 25 (8), p. 1458-1489. 〈10.1080/03605302.2010.490287〉. 〈hal-00380641v2〉
  • Julien Royer. Semiclassical measure for the solution of the dissipative Helmholtz equation. Journal of Differential Equations, Elsevier, 2010, 249 (11), p. 2703-2756. 〈10.1016/j.jde.2010.07.004〉. 〈hal-00434327〉
  • Florent Berthelin, Pierre Degond, Valérie Le Blanc, Salissou Moutari, Michel Rascle, et al.. A traffic-flow model with constraints for the modeling of traffic jams. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2008, 18 (suppl.), pp.1269-1298. 〈10.1142/S0218202508003030〉. 〈hal-00634571〉

Pré-publication, Document de travail3 documents

  • Julien Royer. Energy decay for the Klein-Gordon equation with highly oscillating damping. 2017. 〈hal-01583499〉
  • Romain Joly, Julien Royer. Energy decay and diffusion phenomenon for the asymptotically periodic damped wave equation. IF_PREPUB. 2017. 〈hal-01490420〉
  • Julien Royer. Local Energy Decay and Diffusive Phenomenon in a Dissipative Wave Guide. 2016. 〈hal-01259468〉

Thèse1 document

  • Julien Royer. Analyse haute fréquence de l'équation de Helmholtz dissipative. Mathématiques [math]. Université de Nantes, 2010. Français. 〈tel-00578423〉