@article{AIHPA_1990__53_4_445_0,
author = {Cardoso, Fernando and Petkov, Vesselin and Stoyanov, Luchezar},
title = {Singularities of the scattering kernel for generic obstacles},
journal = {Annales de l'I.H.P. Physique th\'eorique},
pages = {445--466},
year = {1990},
publisher = {Gauthier-Villars},
volume = {53},
number = {4},
mrnumber = {1096103},
zbl = {0729.35099},
language = {en},
url = {https://www.numdam.org/item/AIHPA_1990__53_4_445_0/}
}
TY - JOUR AU - Cardoso, Fernando AU - Petkov, Vesselin AU - Stoyanov, Luchezar TI - Singularities of the scattering kernel for generic obstacles JO - Annales de l'I.H.P. Physique théorique PY - 1990 SP - 445 EP - 466 VL - 53 IS - 4 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPA_1990__53_4_445_0/ LA - en ID - AIHPA_1990__53_4_445_0 ER -
%0 Journal Article %A Cardoso, Fernando %A Petkov, Vesselin %A Stoyanov, Luchezar %T Singularities of the scattering kernel for generic obstacles %J Annales de l'I.H.P. Physique théorique %D 1990 %P 445-466 %V 53 %N 4 %I Gauthier-Villars %U https://www.numdam.org/item/AIHPA_1990__53_4_445_0/ %G en %F AIHPA_1990__53_4_445_0
Cardoso, Fernando; Petkov, Vesselin; Stoyanov, Luchezar. Singularities of the scattering kernel for generic obstacles. Annales de l'I.H.P. Physique théorique, Tome 53 (1990) no. 4, pp. 445-466. https://www.numdam.org/item/AIHPA_1990__53_4_445_0/
[1] and , The Propagation of Singularities Along Gliding Rays, Invent. Math., Vol. 41, 1977, pp. 197-232. | Zbl | MR
[2] and , The Spectrum of Positive Elliptic Operators and Periodic Geodesics, Invent. Math., Vol. 29, 1975, pp. 39-79. | Zbl | MR
[3] and , Stable Mappings and their Singularities, Springer-Verlag, New York, 1973. | Zbl | MR
[4] , Sojourn Time and Asymptotic Properties of the Scattering Matrix, Publ. Res. Inst. Math. Sci., Vol. 12, 1977, pp. 69-88. | Zbl | MR
[5] , The Analysis of Linear Partial Differential Operators, Vol. III, Pseudo-Differential Operators, Springer-Verlag, Berlin, 1985. | Zbl | MR
[6] , Tangential Singularities, Funct. Anal. Appl., Vol. 14, 1980, pp.25-34 (in Russian); Engl. Translation, Vol. 14, 1980, pp. 98-106. | MR
[7] and , Scattering Theory, Academic Press, New York, 1967. | Zbl | MR
[8] , A Representation Formula for the Scattering Operator and the Inverse Problem for Arbitrary Bodies, Comm. Pure Appl. Math., Vol. 30, 1977, pp. 165-194. | Zbl | MR
[9] and , Singularities in Boundary Value Problems. I, II, Comm. Pure Appl. Math., Vol. 31, 1978, pp. 593-617 and Vol. 35, 1982, pp. 129-168. | Zbl
[10] and , Singularities of the Scattering Kernel for Two Balls, J. Math. Soc. Japan, Vol. 40, 1988, pp. 205-220. | Zbl | MR
[11] , High Frequency Asymptotics of the Scattering Amplitude for Non-Convex Bodies, Comm. Partial Diff. Eq., Vol. 5, 1980, pp. 293-329. | Zbl | MR
[12] , Singularités du noyau de l'opérateur de diffusion pour des obstacles non-convexes, Séminaire Équations aux Dérivées Partielles, École Polytechnique, 1989-1990. | Zbl | MR | Numdam
[13] and , Periods of Multiple Reflecting Geodesics and Inverse Spectral Results, Amer. J. Math., Vol. 109, 1987, pp. 619-668. | Zbl | MR
[14] and , Spectrum of the Poincaré Map for Periodic Reflecting Rays in Generic Domains, Math. Z., Vol. 194, 1987, pp. 505-518. | Zbl | MR
[15] and , On the Number of Periodic Reflecting Rays in Generic Domains, Erg. Th. Dynam. Syst., Vol. 8, 1988, pp. 81-91. | Zbl | MR
[16] and , Singularities of the Scattering Kernel and Scattering Invariants for Several Strictly Convex Obstacles, Trans. Amer. Math. Soc., Vol. 312, 1989, pp. 203-235. | Zbl | MR
[17] and , Singularities of the Scattering Kernel for a Class of Star-Shaped Non-Convex Obstacles, Mat. Apl. Comput., Vol. 8, 1989, pp. 167-176. | Zbl | MR
[18] , Conditions Against Rapid Decrease of Oscillatory Integrals and their Applications to Inverse Scattering Problems, Osaka J. Math., Vol. 23, 1986, pp. 441-456. | Zbl | MR
[19] , Generic Properties of Periodic Reflecting Rays, Erg. Th. Dynam. Sys., Vol. 7, 1987, pp. 597-609. | Zbl | MR
[20] , Generic Properties of Scattering Rays, C.R. Acad. Bulgare Sci., Vol. 39, 1986, pp. 13-14. | Zbl | MR
[21] , Nonexistence of Generalized Scattering Rays and Singularities of the Scattering Kernel for Generic Domains in R3, Proc. Amer. Math. Soc. (to appear). | Zbl
[22] , Grazing Rays and Reflection of Singularities of Solutions to Wave Equations, Comm. Pure Appl. Math., Vol. 29, 1976, pp. 1-38. | Zbl | MR






