no. 1
Sojourn times of trapping rays and the behavior of the modified resolvent of the laplacian
Annales de l'I.H.P. Physique théorique, Tome 62 (1995) no. 1, pp. 17-45. 
@article{AIHPA_1995__62_1_17_0,
     author = {Petkov, Vesselin and Stoyanov, Latchezar},
     title = {Sojourn times of trapping rays and the behavior of the modified resolvent of the laplacian},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {17--45},
     publisher = {Gauthier-Villars},
     volume = {62},
     number = {1},
     year = {1995},
     mrnumber = {1313359},
     zbl = {0838.35093},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1995__62_1_17_0/}
}
TY  - JOUR
AU  - Petkov, Vesselin
AU  - Stoyanov, Latchezar
TI  - Sojourn times of trapping rays and the behavior of the modified resolvent of the laplacian
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1995
SP  - 17
EP  - 45
VL  - 62
IS  - 1
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPA_1995__62_1_17_0/
LA  - en
ID  - AIHPA_1995__62_1_17_0
ER  - 
%0 Journal Article
%A Petkov, Vesselin
%A Stoyanov, Latchezar
%T Sojourn times of trapping rays and the behavior of the modified resolvent of the laplacian
%J Annales de l'I.H.P. Physique théorique
%D 1995
%P 17-45
%V 62
%N 1
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPA_1995__62_1_17_0/
%G en
%F AIHPA_1995__62_1_17_0
Petkov, Vesselin; Stoyanov, Latchezar. Sojourn times of trapping rays and the behavior of the modified resolvent of the laplacian. Annales de l'I.H.P. Physique théorique, Tome 62 (1995) no. 1, pp. 17-45. http://archive.numdam.org/item/AIHPA_1995__62_1_17_0/

[BGR] C. Bardos, J.C. Gumlot and J. Ralston, La relation de Poisson pour l'équation des ondes dans un ouvert non-borné. Comm. PDE, Vol. 7, 1982, pp. 905-958. | MR | Zbl

[CPS] F. Cardoso, V. Petkov and L. Stoyanov, Singularities of the scattering kernel for generic obstacles. Ann. Inst. Henri Poincaré (Physique théorique), Vol. 53, 1990, pp. 445-466. | Numdam | MR | Zbl

[G] C. Gérard, Asymptotique des pôles de la matrice de scattering pour deux obstacles strictement convexes. Bull. de S.M.F., Vol. 116, Mémoire n° 31, 1988. | Numdam | MR

[GGu] M. Golubitskii and V. Guillemin, Stabler Mappings and their Singularities, Berlin, Springer, 1973. | MR | Zbl

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

[HI] L. Hörmander, The Analysis of Linear Partial Differential Operators, Vol. I. Berlin, Springer, 1985. | MR

[H2] L. Hörmander, The Analysis of Linear Partial Differential Operators, Vol. III, Berlin, Springer, 1985. | MR | Zbl

[11] M. Ikawa, Precise information on the poles of the scattering matrix for two strictly convex obstacles. J. Math. Kyoto Univ., Vol. 27, 1987, pp. 69-102. | MR | Zbl

[12] M. Ikawa, Decay of solutions of the wave equation in the exterior of several strictly convex bodies. Ann. Inst. Fourier, Vol. 38, 1988, pp. 113-146. | Numdam | MR | Zbl

[13] M. Ikawa, On the existence of the poles of the scattering matrix for several convex bodies. Proc. Japan Acad., Ser. A, Vol. 64, 1988, pp. 91-93. | MR | Zbl

[14] M. Ikawa, On scattering by obstacles, Proceedings of ICM-90, Springer-Verlag, 1991, pp. 1145-1154. | MR | Zbl

[LP] P. Lax and R. Phillips, Scattering Theory. New York, Academic Press, 1967. | MR | Zbl

[Ma] A. Majda, A representation formula for the scattering operator and the inverse problem for arbitrary bodies. Comm. Pure Appl. Math., Vol. 30, 1977, pp. 165- 194. | MR | Zbl

[MS] R. Melrose and J. Sjöstrand, Singularities in boundary value problems. I, II. Comm. Pure Appl. Math., Vol. 31, 1978, pp. 593-617 and Vol. 37, 1982, pp. 129-168. | MR | Zbl

[P1] V. Petkov, Scattering Theory for Hyperbolic Operators. Amsterdam, North-Holland, 1989. | MR | Zbl

[P2] V. Petkov, Le comportement de la résolvante modifiée du Laplacien pour des obstacles captifs. Séminaire EDP, Exposé XVIII, École Polytechnique, 1991-1992. | Numdam | MR | Zbl

[PS1] V. Petkov and L. Stoyanov, Periods of multiple reflecting geodesics and inverse spectral results. Amer. J. Math., Vol. 109, 1987, pp. 619-668. | MR | Zbl

[PS2] V. Petkov and L. Stoyanov, Singularities of the scattering kernel and scattering invariants for several strictly convex obstacles. Trans. Amer. Math. Soc., Vol. 312, 1989, pp. 203-235. | MR | Zbl

[PS3] V. Petkov and L. Stoyanov, Geometry of Reflecting Rays and Inverse Spectral Problems. Chichester, John Wiley & Sons, 1992. | Zbl

[SjZ1] J. Sjöstrand and M. Zworski, Lower bounds on the number of scattering poles. Comm. PDE, Vol. 18, 1993, pp. 847-857. | MR | Zbl

[SjZ2] J. Sjöstrand and M. Zworski, Lower bounds on the number of scattering poles, II. J. Funct. Anal., Vol. 123, 1994, pp. 336-367. | MR | Zbl

[St] L. Stoyanov, An inverse scattering resultfor several convex bodies. Preprint, Math. Dept., Univ. of Western Australia, 1993.

[V] B. Vainberg, Asymptotic Methods in Equations of Mathematical Physics. Gordon and Breach Sci. Publ. Ltd., 1988. | MR