Distribution near the real axis of scattering poles generated by a non-hyperbolic periodic ray

Leon S. Farhy

Annales de l'I.H.P. Physique théorique (1994)

  • Volume: 60, Issue: 3, page 291-302
  • ISSN: 0246-0211

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Farhy, Leon S.. "Distribution near the real axis of scattering poles generated by a non-hyperbolic periodic ray." Annales de l'I.H.P. Physique théorique 60.3 (1994): 291-302. <http://eudml.org/doc/76636>.

@article{Farhy1994,
author = {Farhy, Leon S.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {lower bounds; number of scattering poles},
language = {eng},
number = {3},
pages = {291-302},
publisher = {Gauthier-Villars},
title = {Distribution near the real axis of scattering poles generated by a non-hyperbolic periodic ray},
url = {http://eudml.org/doc/76636},
volume = {60},
year = {1994},
}

TY - JOUR
AU - Farhy, Leon S.
TI - Distribution near the real axis of scattering poles generated by a non-hyperbolic periodic ray
JO - Annales de l'I.H.P. Physique théorique
PY - 1994
PB - Gauthier-Villars
VL - 60
IS - 3
SP - 291
EP - 302
LA - eng
KW - lower bounds; number of scattering poles
UR - http://eudml.org/doc/76636
ER -

References

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  1. [1] C. Bardos, J.C. Guillot, J. Ralston, La relation de Poisson pour l'équation des ondes dans un ouvert non borné, Comm. Part. Diff. Eq., Vol. 7, 1982, pp. 905-958. Zbl0496.35067MR668585
  2. [2] C. Gérard, Asymptotique des pôles de la matrice de scattering pour deux obstacles strictement convexes, Bull. S.M.F., T 116, Mémoire n° 31, 1988. Zbl0654.35081MR998698
  3. [3] M. Ikawa, On the poles of the scattering matrix for two strictly convex obstacles, J. Math. Kyoto Univ., Vol. 23, 1983, pp. 127-194. Zbl0561.35060MR692733
  4. [4] M. Ikawa, Trapping obstacles with a sequence of poles of the scattering matrix converging to the real axis, Osaka J. Math., Vol. 22, 1985, pp. 657-689. Zbl0617.35102MR815439
  5. [5] M. Ikawa, preprint. 
  6. [6] P.D. Lax, R.S. Phillips, Scattering theory, Academic Press, New York, 1967. Zbl0186.16301MR217440
  7. [7] R.B. Melrose, Scattering theory and the trace of the wave group, J. of Funct. Anal., Vol. 45, 1982, pp. 29-40. Zbl0525.47007MR645644
  8. [8] J. Sjöstrand, M. Zworski, Lower bounds on the number of scattering poles, Comm. P.D.E., Vol. 18, 1993, pp. 847-854. Zbl0784.35070MR1218521

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