@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}, zbl = {0639.35065}, mrnumber = {89a:58108}, language = {en}, url = {https://proceedings.centre-mersenne.org/item/JEDP_1987____A11_0/} }
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/item/JEDP_1987____A11_0/ 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/item/JEDP_1987____A11_0/ %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. https://proceedings.centre-mersenne.org/item/JEDP_1987____A11_0/
[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. | EuDML | Numdam | 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.