La diffraction en métrique de Schwarzschild : complétude asymptotique et résonances

A. Bachelot

Séminaire Équations aux dérivées partielles (Polytechnique) (1992-1993)

  • page 1-13

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Bachelot, A.. "La diffraction en métrique de Schwarzschild : complétude asymptotique et résonances." Séminaire Équations aux dérivées partielles (Polytechnique) (1992-1993): 1-13. <http://eudml.org/doc/112071>.

@article{Bachelot1992-1993,
author = {Bachelot, A.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {Schwarzschild metric; asymptotic completeness; diffraction; resonances},
language = {fre},
pages = {1-13},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {La diffraction en métrique de Schwarzschild : complétude asymptotique et résonances},
url = {http://eudml.org/doc/112071},
year = {1992-1993},
}

TY - JOUR
AU - Bachelot, A.
TI - La diffraction en métrique de Schwarzschild : complétude asymptotique et résonances
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1992-1993
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 13
LA - fre
KW - Schwarzschild metric; asymptotic completeness; diffraction; resonances
UR - http://eudml.org/doc/112071
ER -

References

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  1. [1] A. Bachelot, Gravitational Scattering of Electromagnetic Field by Schwarzschild Black-Hole, Ann. Inst. Henri PoincaréPhysique théorique, 54, 3, 1991, 261-320. Zbl0743.53037MR1122656
  2. [2] A. Bachelot, Scattering of eletromagnetic field by De Sitter-Schwarzschild Black-Hole, in "Non linear hyperbolic equations and field theory" Research Notes in Math. 253, 1992, Pitman. Zbl0823.35162MR1175199
  3. [3] A. Bachelot, A. Motet-Bachelot, Les résonances d'un trou noir de Schwarzschild, à paraître aux Ann. Inst. Heinri Poincaré physique théorique. Zbl0793.53094
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  7. [7] Y. Choquet-Bruhat, D. Christodoulou.Existence of global solutions of the Yang-Mills Higgs and spinor field equations in 3+1 dimensions, Ann. Sci. Ecole Norm. Sup., 14, 1981, p. 481-506. Zbl0499.35076MR654209
  8. [8] D. Christodoulou, S. Klainerman.The Global Nonlinear Stability of the Minkowski Space, preprint 1959. Zbl0827.53055
  9. [9] Th. Damour, Black-Hole eddy currents, Phys. Rev.D18, 10, 1978, p. 3598, 3604. 
  10. [10] J. Dimock, Scattering for the wave equation on the Schwarzschild metric, Gen. Rel. Grav.17, 4, 1985, p. 353-369. Zbl0618.35088MR788801
  11. [11] J. Dimock, B.S. Kay, Classical and Quantum scattering theory for linear scalar fields on the Schwarzschild metric I, Ann. Phys.175, 1987, p. 366-426. Zbl0628.53080MR887979
  12. [13] H. Kitada, Scattering theory for Schrödinger operators with long range potentials IL., J. Math. Soc. Japan, 30, 4, 1978, p.603-632. Zbl0388.35055MR634803
  13. [14] J.P. Nicolas, Non linear Klein-Gordon Equation in Schwarzschild like metric, Fourth International Conference on Hyperbolic Problems, Taormina, 1992, Vieweg Eds. Zbl1043.83526
  14. [15] R. Phillips, Scattering Theory for the Wave Equation with a Short Range Perturbation II, Indiana Univ. Math. J., 33, 6, 1984, p.831-846. Zbl0526.35066MR763944
  15. [16] W.T. Shu, Spin Field Equations and Yang-Mills Equation, Ph. D. Thesis, Princeton University, 1990. 
  16. [17] M. Zworski, Distribution of Poles for Scattering on the Real Line, J. Funct. Anal.73, 1987, p. 277-296. Zbl0662.34033MR899652

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