La distribution des pôles de la matrice de diffusion

V. M. Petkov

Séminaire Équations aux dérivées partielles (Polytechnique) (1982-1983)

  • page 1-8

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Petkov, V. M.. "La distribution des pôles de la matrice de diffusion." Séminaire Équations aux dérivées partielles (Polytechnique) (1982-1983): 1-8. <http://eudml.org/doc/111838>.

@article{Petkov1982-1983,
author = {Petkov, V. M.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {captive obstacles},
language = {fre},
pages = {1-8},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {La distribution des pôles de la matrice de diffusion},
url = {http://eudml.org/doc/111838},
year = {1982-1983},
}

TY - JOUR
AU - Petkov, V. M.
TI - La distribution des pôles de la matrice de diffusion
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1982-1983
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 8
LA - fre
KW - captive obstacles
UR - http://eudml.org/doc/111838
ER -

References

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  1. [1] C. Bardos, J.C. Guillot et J. Ralston: La relation de Poisson pour l'équation des ondes dans un ouvert non borné. Application à la théorie de la diffusion, Comm. in Partial Diff. Eq., 7, (1982), p. 905-958. Zbl0496.35067MR668585
  2. [2] V. Guillemin et R. Melrose: The Poisson summation formula for manifolds with boundary. Advances in Math., 32, (1979), p. 204-232. Zbl0421.35082MR539531
  3. [3] M. Ikawa: On the poles of the scattering matrix for two strictly convex obstacles. J. Math. Kyoto Univ. (to appear). Zbl0561.35060MR692733
  4. [4] M. Ikawa: On the distribution of the poles of the scattering matrix for two strictly convex obstacles, preprint. Zbl0542.35057MR719973
  5. [5] V. Ivrii: Second term of the spectral symptotic expansion of the Laplace-Beltrami operator on manifolds with boundary. Funct. Analiz i Ego Pril., 14, N° 2 (1980), p. 25-34. Zbl0453.35068MR575202
  6. [6] P. Lax and R. Phillips: Scattering theory, Academic Press, 1967. Zbl0186.16301MR217440
  7. [7] P. Lax and R. Phillips: A logarithmic bound on the location of the poles of the scattering matrix, Arch. Rat. Mech. and Anal., 40, (1971), p. 268-280. Zbl0216.13002MR296534
  8. [8] R. Melrose and J. Sjöstrand: Singularities in boundary value problems. Comm. Pure Appl. Math., 31, (1978), p. 593-617 and 35, (1982), p.129-168. Zbl0368.35020
  9. [9] R. Melrose: Polynomial bound on the number of scattering poles. Preprint. Zbl0535.35067MR724031
  10. [10] V. Petkov and G. Popov: Asymptotic behaviour of the scattering phase for non-trapping obstacles. Ann. Inst. Fourier, 32, (1982), (to appear). Zbl0476.35014MR688023
  11. [11] V. Petkov: Note on the distribution of poles of the scattering matrix. J. Math. Anal. Appl. (to appear). Zbl0562.35065MR748591
  12. [12] P. Vogel: Communication personnelle. 

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