Singularities of the scattering kernel for non convex obstacles
Journées équations aux dérivées partielles (1987), article no. 11, 10 p. 
@incollection{JEDP_1987____A11_0,
     author = {Vesselin M. Petkov and Luchezar N. Stoyanov},
     title = {Singularities of the scattering kernel for non convex obstacles},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {11},
     pages = {1--10},
     publisher = {\'Ecole polytechnique},
     year = {1987},
     doi = {10.5802/jedp.332},
     mrnumber = {89a:58108},
     zbl = {0639.35065},
     language = {en},
     url = {https://proceedings.centre-mersenne.org/articles/10.5802/jedp.332/}
}
TY  - JOUR
AU  - Vesselin M. Petkov
AU  - Luchezar N. Stoyanov
TI  - Singularities of the scattering kernel for non convex obstacles
JO  - Journées équations aux dérivées partielles
PY  - 1987
SP  - 1
EP  - 10
PB  - École polytechnique
UR  - https://proceedings.centre-mersenne.org/articles/10.5802/jedp.332/
DO  - 10.5802/jedp.332
LA  - en
ID  - JEDP_1987____A11_0
ER  - 
%0 Journal Article
%A Vesselin M. Petkov
%A Luchezar N. Stoyanov
%T Singularities of the scattering kernel for non convex obstacles
%J Journées équations aux dérivées partielles
%D 1987
%P 1-10
%I École polytechnique
%U https://proceedings.centre-mersenne.org/articles/10.5802/jedp.332/
%R 10.5802/jedp.332
%G en
%F JEDP_1987____A11_0
Vesselin M. Petkov; Luchezar N. Stoyanov. Singularities of the scattering kernel for non convex obstacles. Journées équations aux dérivées partielles (1987), article  no. 11, 10 p.. doi: 10.5802/jedp.332

[1] Y. Colin De Verdière, Sur les longueurs des trajectoires périodiques d'un billard, pp. 122-139 dans Géométrie Symplectique et de Contact : Autour du théorème de Poincaré-Birkoff, Hermann, 1984. | MR | Zbl

[2] C. Gérard, Asymptotique des poles de la matrice de scattering pour deux obstacles strictement convexes, Prépublication de l'Université Paris-Sud, 1986. | Numdam | Zbl

[3] V. Guillemin, Sojourn time and asymptotic properties of the scattering matrix, Publ. RIMS Kyoto Univ., 12, (1977), 69-88. | MR | Zbl

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

[5] M. Ikawa, Precise information on the poles of the scattering matrix for two strictly convex obstacles, preprint, 1985. | Zbl

[6] S. Marvizi, R. Melrose, Spectral invariants of convex planar regions, J. Diff. Geometry, 17, (1982) 475-502. | MR | Zbl

[7] S. Nakamura, H. Soga, Singularities of the scattering kernel for two balls, preprint, 1986. | Zbl

[8] V. Petkov, High frequency asymptotics of the scattering amplitude for non-convex bodies, Comm. Part. Diff. Equations, 5, (1980), 193-329. | MR | Zbl

[9] V. Petkov, L. Stojanov, Periodic geodesics of generic non-convex domains in ℝ2 and the Poisson relation, Bull. Amer. Math. Soc., 15, (1986), 88-90. | MR | Zbl

[10] V. Petkov et L. Stojanov, Propriétés génériques de l'application de Poincaré et des géodesiques périodiques généralisées, Seminaire Equations aux Dérivées Partielles, Ecole Polytechnique, Exposé XI, 1985 - 1986. | Numdam | EuDML | Zbl

[11] V. Petkov, L. Stojanov, Spectrum of the Poincaré map for periodic reflecting rays in generic domains, Math. Z., 194, (1987), 505-518. | EuDML | MR | Zbl

[12] V. Petkov, L. Stojanov, Periods of multiple reflecting geodesics and inverse spectral results, Amer. J. Math., (to appear). | Zbl

[13] Ya. G. Sinai, Development of Krylov ideas. An addendum to the book : N.S. Krylov, Works on the foundations of statistical physics, Princeton Univ. Press, 1979, 239-281.

Cité par Sources :