@article{SEDP_1989-1990____A10_0,
author = {Petkov, V. M.},
title = {Les singularit\'es du noyau de l'op\'erateur de diffusion pour des obstacles non-convexes},
journal = {S\'eminaire Goulaouic-Schwartz},
note = {talk:8},
pages = {1--12},
year = {1989-1990},
publisher = {Ecole Polytechnique, Centre de Math\'ematiques},
zbl = {0707.35092},
language = {fr},
url = {https://www.numdam.org/item/SEDP_1989-1990____A10_0/}
}
TY - JOUR AU - Petkov, V. M. TI - Les singularités du noyau de l'opérateur de diffusion pour des obstacles non-convexes JO - Séminaire Goulaouic-Schwartz N1 - talk:8 PY - 1989-1990 SP - 1 EP - 12 PB - Ecole Polytechnique, Centre de Mathématiques UR - https://www.numdam.org/item/SEDP_1989-1990____A10_0/ LA - fr ID - SEDP_1989-1990____A10_0 ER -
%0 Journal Article %A Petkov, V. M. %T Les singularités du noyau de l'opérateur de diffusion pour des obstacles non-convexes %J Séminaire Goulaouic-Schwartz %Z talk:8 %D 1989-1990 %P 1-12 %I Ecole Polytechnique, Centre de Mathématiques %U https://www.numdam.org/item/SEDP_1989-1990____A10_0/ %G fr %F SEDP_1989-1990____A10_0
Petkov, V. M. Les singularités du noyau de l'opérateur de diffusion pour des obstacles non-convexes. Séminaire Goulaouic-Schwartz (1989-1990), Exposé no. 8, 12 p.. https://www.numdam.org/item/SEDP_1989-1990____A10_0/
[1] and : The propagation of singularities along gliding rays. Invent. Math., 41 (1977), 197-232. | Zbl | MR
[2] , and : Singularities of the scattering kernel for generic obstacles. Preprint. | Zbl | Numdam
[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., Supl. 12 (1977), 69-88. | Zbl | MR
[5] and : Scattering Theory. Academic Press, New York, 1967. | Zbl | MR
[6] : A representation formula for the scattering operator and the inverse problem for arbitrary bodies. Comm. Pure Appl. Math. 30 (1977), 165-194. | Zbl | MR
[7] : Singularities and energy decay of acoustical scattering. Duke Math. J., 46 (1979), 43-59. | Zbl | MR
[8] and : Singularities on boundary value problems, I, II. Comm. Pure Appl. Math., 31 (1978), 593-617 and 35 (1982), 129-168. | Zbl | MR
[9] : Singularities of the scattering kernel for two convex obstacles. Publ. RIMS Kyoto University, 25 (1989), 223-238. | Zbl | MR
[10] and : Singularities of the scattering kernel for two balls. J. Math. Soc. Japan, 40 (1988), 205-220. | Zbl | MR
[11] : High frequency asymptotics of the scattering amplitude for non-convex bodies. Comm. PDE, 5 (1980), 293-329. | Zbl | MR
[12] : Scattering Theory for Hyperbolic Operators. North-Holland, Amsterdamn, 1989. | Zbl | MR
[13] and : Periods of multiple reflecting geodesics and inverse spectral results. Amer. J. Math., 109 (1987), 619-668. | Zbl | MR
[14] and : Spectrum of the Poincaré map for periodic reflecting rays in generic domains, Math. Z., 194 (1987), 505-518. | Zbl | MR
[15] and : On the number of periodic rays in generic domains. Ergodic Theory and Dynamical Systems, 8 (1988), 81-91. | Zbl | MR
[16] and : Singularities of the scattering kernel and scattering invariants for several strictly convex obstacles. Trans. Amer. Math. Soc. 312 (1989), 203-235. | Zbl | MR
[17] and : Singularities of the scattering kernel for a class of starshaped non-convex obstacles. Math. Appl. Comput., (to appear). | Zbl
[18] : Conditions against rapid decrease of oscillatory integrals and their applications to inverse scattering problems. Osana J. Math., 23 (1986), 441-456. | Zbl | MR
[19] : Unpublished manuscript, 1989.
[20] : Nonexistence of generalized scattering rays and singularities of the scattering kernel for generic domains in R3. Preprint, 1989. | Zbl
[21] : Asymptotic Methods in Equations of Mathematical Physics. Gordon and Breach Sci. Publ., 1988. | Zbl | MR





