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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,
Ann. Inst. Fourier (Grenoble) 66 (2016), 3,
1175-1216.
- 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,
chapter in ``From
Riemann to differential geometry and relativity'',
Lizhen Ji, Athanase Papadopoulos and Sumio Yamada
Eds., Springer, 2017.
- 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 semi-linear scalar
fields, with Pham T. X., arXiv:1801:08996,
2018, Annales Henri Poincaré 20 (2019), 10,
3419-3470.
- A
new type of black hole bomb, with L. Di
Menza and M. Pellen, arXiv:1903.02941,
Gen. Relativ. Gravit. 52 (2020), 8.
- Scattering
theory for Dirac fields inside a
Reissner-Nordström-type black hole, D.
Häfner, M. Mokdad, J.-P. Nicolas, arXiv:2007.16139,
J. Math. Phys. 62 (2021), 8, 081503, 15 pp.
- Geometry
of Vaidya spacetimes, A. Coudray,
J.-P. Nicolas, arXiv:2101.06544,
General Relativity and Gravitation 53 (2021), 8,
article 73, 23 pp.
- Conformal scattering of
Maxwell potentials, J.-P. Nicolas, G. Taujanskas,
2022, arXiv:2211.14579,
to appear in Annales de l'Institut Fourier.
- Peeling at extreme black
hole horizons, J.
Borthwick, E. Gourgoulhon, J.-P. Nicolas,
2023, arXiv:2303.14574.
- Analytic
and conformal scattering in general relativity,
J.-P. Nicolas, Philos. Trans. Roy. Soc. A {\bf
382} (2024), 2267, Paper No. 20230035, 25 pp.
- Finite energy well-posedness
of the Maxwell-scalar field system on the Einstein
cylinder, J.-P. Nicolas, G. Taujanskas, in
preparation.
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 preparation.
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