no. 1
On the poles of the scattering matrix for two convex obstacles
Journées équations aux dérivées partielles, no. 1 (1985), article no. 5, 14 p. 
@incollection{JEDP_1985___1_A5_0,
     author = {Mitsuru Ikawa},
     title = {On the poles of the scattering matrix for two convex obstacles},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {5},
     pages = {1--14},
     publisher = {\'Ecole polytechnique},
     number = {1},
     year = {1985},
     doi = {10.5802/jedp.297},
     zbl = {0587.35057},
     language = {en},
     url = {https://proceedings.centre-mersenne.org/articles/10.5802/jedp.297/}
}
TY  - JOUR
AU  - Mitsuru Ikawa
TI  - On the poles of the scattering matrix for two convex obstacles
JO  - Journées équations aux dérivées partielles
PY  - 1985
SP  - 1
EP  - 14
IS  - 1
PB  - École polytechnique
UR  - https://proceedings.centre-mersenne.org/articles/10.5802/jedp.297/
DO  - 10.5802/jedp.297
LA  - en
ID  - JEDP_1985___1_A5_0
ER  - 
%0 Journal Article
%A Mitsuru Ikawa
%T On the poles of the scattering matrix for two convex obstacles
%J Journées équations aux dérivées partielles
%D 1985
%P 1-14
%N 1
%I École polytechnique
%U https://proceedings.centre-mersenne.org/articles/10.5802/jedp.297/
%R 10.5802/jedp.297
%G en
%F JEDP_1985___1_A5_0
Mitsuru Ikawa. On the poles of the scattering matrix for two convex obstacles. Journées équations aux dérivées partielles, no. 1 (1985), article  no. 5, 14 p. doi : 10.5802/jedp.297. https://proceedings.centre-mersenne.org/articles/10.5802/jedp.297/

[1] C. Bardos, J.C. Guillot and J. Ralston, La relation de Poisson pour l'équation des ondes dans un ouvert non borné. Application à la théorie de la diffusion, Comm. Partial Diff. Equ., (1982), 905-958. | MR | Zbl

[2] M. Ikawa, Decay of solutions of the wave equation in the exterior of two convex obstacles, Osaka J. Math., 19 (1982), 459-509. | MR | Zbl

[3] M. Ikawa, On the poles of the scattering matrix for two strictly convex obstacles, J. Math. Kyoto Univ., 23 (1983), 127-194. | MR | Zbl

[4] M. Ikawa, On the poles of the scattering matrix for two strictly convex obstacles : Addendum, J. Math. Kyoto Univ., 23 (1983), 795-802. | Zbl

[5] M. Ikawa, Trapping obstacles with a sequence of poles of the scattering matrix converging to the real axis, to appear in Osaka J. Math. | Zbl

[6] M. Ikawa, Precise informations on the poles of the scattering matrix for two strictly convex obstacles, in preparation. | Zbl

[7] P.D. Lax and R.S. Phillips, Scattering theory, Academic Press, New York, (1967). | Zbl

[8] P.D. Lax and R.S. Phillips, A logarithmic bound on the location of the scattering matrix, Arch. Rat. Mech. and Anal., 40 (1971), 268-280. | MR | Zbl

[9] G. Lebeau, to appear.

[10] R. Melrose, Polynomial bound on the distribution of poles in scattering by obstacles, Journées " Equations aux dérivées partielles ", Soc. Math. France, (1984). | Numdam | Zbl

[11] V.M. Petkov, Propriétés génériques des rayons réfléchissants et applications aux problèmes spectraux, Séminaire Bony-Sjöstrand-Meyer, 1984-1985, Exposé n° XII. | Numdam | Zbl

[12] V.M. Petkov and L. Stojanov, Periods of multiple reflecting geodesics and inverse spectral problems, preprint. | Zbl

Cité par Sources :