Publications


Articles
  • Equation non linéaire de Klein-Gordon dans des métriques de type Schwarzschild, with A. Bachelot, C. R. Acad. Sci. Paris, t. 316 (1993), Série 1, p. 1047-1050.
  • Nonlinear Klein-Gordon equation on Schwarzschild-like metrics, Proceedings of the conference: ``Nonlinear hyperbolic problems: theoretical, applied, and computational aspects'' (Taormina, 1992), p. 449-456, Notes Numer. Fluid Mech., 43, Vieweg, Braunschweig, 1993.
  • Opérateur de diffusion pour le système de Dirac en métrique de Schwarzschild, C. R. Acad. Sci. Paris, t. 318 (1994), Série 1, p. 729-734.
  • PhD thesis, Université  Bordeaux 1, Mathématiques Appliquées, ``L'équation non linéaire de Klein-Gordon et le système linéaire de Dirac en métrique de type Schwarzschild'', January 1994.
  • Non linear Klein-Gordon equation on Schwarzschild-like metrics, J. Math. Pures Appl., 74 (1995), p. 35-58.
  • Scattering of linear Dirac fields by a spherically symmetric Black-Hole, Ann. Inst. Henri Poincaré - Physique Théorique, 62 (1995), 2, p. 145-179.
  • Spin 3/2 zero rest-mass fields in the Schwarzschild space-time, Twistor Newsletter 39 (1995), p. 6-10.
  • Problème de Cauchy global pour les équations linéaires sans masse de spin 3/2 en métrique de Schwarzschild, C. R. Acad. Sci. Paris, t. 325 (1997), Série 1, p. 277-282.
  • Global exterior Cauchy problem for spin 3/2 zero rest-mass fields in the Schwarzchild space-time, Commun. in PDE, 22 (1997), 3&4, p.  465-502.
  • Résultats globaux pour les équations de Rarita-Schwinger en espace-temps d'Einstein asymptotiquement plat, with L.J. Mason, C. R. Acad. Sci. Paris, t. 327 (1998), Série 1, p. 743-748.
  • Champs de spin 3/2 et relativité générale, Partial Differential Equations Seminar, Ecole Polytechnique, Palaiseau, France, 17th November 1998.
  • Habilitation thesis, ``Une étude de champs scalaires et spinoriels dans des espaces-temps de la relativité générale'', Université Bordeaux 1, 26th January 1999.
  • Global results for the Rarita-Schwinger equations and Einstein vacuum equations, with L.J. Mason, Proc. London Math. Soc., 79 (1999), 3, p. 694-720.
  • Dirac fields on asymptotically simple space-times, Jean Leray 1999 Conference Proceedings, Maurice de Gosson editor, May 2003.
  • Dirac fields on asymptotically flat space-times, Dissertationes Mathematicae 408, 2002, 85 pages.
  • A non linear Klein-Gordon equation on Kerr metrics, Journal de Mathématiques Pures et Appliquées,  81 (2002), 9, p. 885-914.
  • Scattering of massless Dirac fields by a slow Kerr black hole, with D. Häfner, Reviews in Mathematical Physics 16 (2004), 1, p. 29-123.
  • Conformal scattering and the Goursat problem, with L. J. Mason, Journal of Hyperbolic Differential Equations, 1 (2004), 2, p. 197-233.
  • On Lars Hörmander's remark on the characteristic Cauchy problem, Annales de l'Institut Fourier, 56 (2006), 3, p. 517-543.
  • On Lars Hörmander's remark on the characteristic Cauchy problem, C. R.Math. Acad. Sci. Paris, 344 (2007), p. 621-626.
  • Regularity at spacelike and null infinity, with L. J. Mason, arXiv: gr-qc/0701049, J. Inst. Math. Jussieu 8 (2009), 1, 179-208.
  • The characteristic Cauchy problem for Dirac fields on curved backgrounds, with D. Häfner, arXiv0909.515, J. Hyperbolic Differ. Equ. 8 (2011), 3, 437-483.
  • Peeling of Dirac and Maxwell fields on a Schwarzschild background, with L. J. Mason, arXiv:1101.4333, J. Geom. Phys. 62 (2012), no. 4, 867-889.
  • A decay estimate for the wave equation with trapping and a complex potential, with L. Andersson and P. Blue, arXiv:1107.4597, Int. Math. Res. Not. IMRN 2013, no. 3, 548-561.
  • Conformal scattering on the Schwarzschild metric, arXiv:1312.1386, 2013, to appear in Annales de l'Institut Fourier.
  • Superradiance on the Reissner-Nordstrøm metric, with L. Di Menza, arXiv:1411.3988, 2014, Class. Quantum Grav. 32 (2015) 145013 (28pp).
  • The conformal approach to asymptotic analysis, arXiv1508.02592, 2015.
  • Conservation laws and evolution schemes in geodesic, hydrodynamic and magnetohydrodynamic flows, with C. Markakis, K. Uryū, E. Gourgoulhon, N. Andersson, A. Pouri, V. Witzany, arXiv:1612.09308, 2016.
  • Peeling on Kerr spacetime: linear and nonlinear scalar fields, with Pham T. X., arXiv:1801:08996, 2018, accepted for publication in Annales Henri Poincaré.
  • A new type of black hole bomb, with L. Di Menza and M. Pellen, arXiv:1903.02941, 2019.
Books
  • T. Daudé, D. Häfner, J.-P. Nicolas editors, Asymptotic analysis in general relativity : lecture notes of the 2015 Grenoble Summer School, London Mathematical Society Lecture Notes Vol. 443, Cambridge University Press, 2018.
  • L.J. Mason, J.-P. Nicolas, Conformal scattering theory, in preeparation for Cambridge University Press.