Asymptotique des résonances pour des obstacles
Séminaire Bourbaki : volume 1989/90, exposés 715-729, Astérisque, no. 189-190 (1990), Exposé no. 724, 25 p.

Voir la notice du chapitre de livre provenant de la source Numdam

MR Zbl
Sjôstrand, Johannes. Asymptotique des résonances pour des obstacles, dans Séminaire Bourbaki : volume 1989/90, exposés 715-729, Astérisque, no. 189-190 (1990), Exposé no. 724, 25 p.. http://geodesic.mathdoc.fr/item/SB_1989-1990__32__259_0/
@incollection{SB_1989-1990__32__259_0,
     author = {Sj\^ostrand, Johannes},
     title = {Asymptotique des r\'esonances pour des obstacles},
     booktitle = {S\'eminaire Bourbaki : volume 1989/90, expos\'es 715-729},
     series = {Ast\'erisque},
     note = {talk:724},
     pages = {259--283},
     year = {1990},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {189-190},
     mrnumber = {1099879},
     zbl = {0739.35062},
     language = {fr},
     url = {http://geodesic.mathdoc.fr/item/SB_1989-1990__32__259_0/}
}
TY  - CHAP
AU  - Sjôstrand, Johannes
TI  - Asymptotique des résonances pour des obstacles
BT  - Séminaire Bourbaki : volume 1989/90, exposés 715-729
AU  - Collectif
T3  - Astérisque
N1  - talk:724
PY  - 1990
SP  - 259
EP  - 283
IS  - 189-190
PB  - Société mathématique de France
UR  - http://geodesic.mathdoc.fr/item/SB_1989-1990__32__259_0/
LA  - fr
ID  - SB_1989-1990__32__259_0
ER  - 
%0 Book Section
%A Sjôstrand, Johannes
%T Asymptotique des résonances pour des obstacles
%B Séminaire Bourbaki : volume 1989/90, exposés 715-729
%A Collectif
%S Astérisque
%Z talk:724
%D 1990
%P 259-283
%N 189-190
%I Société mathématique de France
%U http://geodesic.mathdoc.fr/item/SB_1989-1990__32__259_0/
%G fr
%F SB_1989-1990__32__259_0

[AC] J. Aguilar, J. M. Combes, A class of analytic perturbations for one-body Schrödinger Hamiltonians, Comm. Math. Phys. 22 (1971), 269-279. | Zbl | MR

[BaC] E. Balslev, J. M. Combes, Spectral properties of many-body Schrôdinger operators with dilation analytic interactions, Comm. Math. Phys. 22 (1971), 280-294. | Zbl | MR

[BGR] C. Bardos, J. C. Guillot, J. Ralston, La relation de Poisson pour l'équation des ondes dans un ouvert non borné. Application à la théorie de la diffusion, Comm. P.D.E., 7 (1982), 905-958. | Zbl | MR

[Be] J. T. Beale, Scattering frequencies of resonators, C.P.A.M. 26 (1973), 549-563. | Zbl | MR

[Bo] J-M. Bony, Equivalence des diverses notions de spectre singulier analytique, Sém. Goulaouic-Schwartz, (1976-77), Exposé n° 3. | Zbl | MR | Numdam

[BLeRa] C. Bardos, G. Lebeau, J. Rauch, Scattering frequences and Gevrey 3 singularities, Inv. Math. 90(1) (1987), 77-114. | Zbl | MR

[FM] F. G. Friedlander, R. B. Melrose, The wave front set of the solution of a simple initial boundary value problem with glancing rays II, Math. Proc. Camb. Phil. Soc. 81 (1977), 97-120. | Zbl | MR

[Ge] C. Gérard, Asymptotique des pôles de la matrice de scattering pour deux obstacles strictement convexes, Bull. de la S.M.F., 116(1) (1988), Mémoire n° 31. | Zbl | MR | Numdam

[HeMa] B. Helffer, A. Martinez, Comparaison entre les diverses notions de résonances, Helv. Phys. Acta 60 (1987), 992-1003. | MR

[HMa] P. Hislop, A. Martinez, Scattering resonances of a Helmholz resonator, Prépublication d'orsay 89-40, (1989). | MR

[Hö] L. Hörmander, The analysis of linear partial differential operators 1- 4, Grundlehren, Vol. 256, 257, 274, 275, (1983-85). | Zbl

[I1] M. Ikawa, On the poles of the scattering matrix for two strictly convex obstacles, J. Math. Kyoto Univ., 23(1) (1983), 127-194, et 23(4) (1983), 795- 802, On the distribution of the poles of the scattering matrix for two strictly convex obstacles, Hokkaido Math. J., 12 (1983), 343-359. | Zbl | MR

[I2] M. Ikawa, On the poles of the scattering matrix for two convex obstacles, Journées E.D.P., St Jean de Monts (1985), Exposé n° 5 , Distribué par OFFILIB. | Zbl | MR | Numdam

[I3] M. Ikawa, Trapping obstacles with a sequence of poles of the scattering matrix converging to the real axis, Osaka J. Math. 22(4) (1985), 657-689. | Zbl | MR

[I4] M. Ikawa, Decay of solutions of the wave equations in the exterior of several convex bodies, Ann. Inst. Fourier 38(2) (1988), 113-146. | Zbl | MR | Numdam

[I5] M. Ikawa, On the existence of the poles of the scattering matrix for several convex bodies, Proc. Japan Acad., 44 A(4) (1988), 91-93. | Zbl | MR

[Iv] V. Ivrĭi, Wave fronts for solutions of boundary value problems for a class of symmetric hyperbolic systems, Sibirsk Mat. Z. 21(4) (1980), 62-71 et Sib. J. Math. 21 (1980), 527-534. | Zbl | MR

[In] A. Intissar, A polynomial bound on the number of the scattering poles for a potential in even dimensions, Comm. P.D.E. 11 (1986), 367-396. | Zbl | MR

[K] K. Kataoka, Microlocal theory of boundary value problems I, II, J. Fac. Sci. Univ. Tokyo 27 (1980), 355-399, 28 (1981), 31-56. | Zbl

[Las] B. Lascar, R. Lascar, Propagation des singularités Gevrey pour la diffraction, Prépublication (1989).

[LasS] B. Lascar, J. Sjöstrand, Equation de Schrôdinger et propagation des singularités ..., Astérisque n° 95, (1982), 167-207. | Zbl | MR | Numdam

[La1] P. Laubin, Etude 2-microlocale de la diffraction, Dissertation, Université de Liège, Fac. des Sciences (1987), p. 165-202 dans Advances in microlocal analysis, Ed. H.G. Garnir, Nato ASI Series C, Vol. 168, Reidel (1986). | Zbl | MR

[La2] P. Laubin, Asymptotic solutions of hyperbolic boundary value problems with diffraction, p. 165-202 dans Advances in microlocal analysis, Ed. H.G. Garnir, Nato ASI Series C, Vol. 168, Reidel (1986). | Zbl | MR

[LP1] P. Lax, R. Phillips, Scattering theory, Pure and Appl. Math., Academic Press (1967). | Zbl | MR

[LP2] P. Lax, R. Phillips, A logarithmic bound on the location of the poles of the scattering matrix, Arch. Rat. Mech. and Anal., 40 (1971), 268- 280. | Zbl | MR

[Le1] G. Lebeau, Régularité Gevrey 3 pour la diffraction, Comm. P.D.E., 9(15) (1984), 1437-1494. | Zbl | MR

[Le2] G. Lebeau, Propagation des singularités pour le problème de Diri- chlet, p. 203-224 dans Advances in microlocal analysis, Ed. H.G. Garnir, Nato ASI Series C, Vol. 168, Reidel (1986). | Zbl | MR

[Le3] G. Lebeau, Deuxième microlocalisation sur des sous-variétés isotropes, Ann. Inst. Fourier, 35(2) (1985), 145-216. | Zbl | MR | Numdam

[M1] R. Melrose, Polynomial bound on the number of scattering poles, J. Funct. Anal. 53 (1983), 287-303, amélioration dans : Journées E.D.P., St Jean de Monts (1984), exposé n° 3, (Ecole Polytechnique). | Zbl | MR

[MS] R. Melrose, J. Sjöstrand, Singularities of boundary value problems, I,II, C.P.A.M. 31 (1978), 595-617, C.P.A.M. 35 (1982), 129-168. | Zbl | MR

[MoRSt] C. Morawetz, J. Ralston, W. Strauss, Decay of solutions of the wave equation outside nontrapping obstacles, C.P.A.M., 30 (1977), 447- 508. | Zbl | MR

[Po] G. Popov, Some estimates of Green's functions in the shadow, Osaka J. Math. 24(1) (1987), 1-12. | Zbl | MR

[RaS] J. Rauch, J. Sjöstrand, Propagation of analytic singularities along diffracted rays, Indiana Univ. Math. J. 30(3) (1981), 389-401. | Zbl | MR

[S1] J. Sjöstrand, Singularités analytiques microlocales, Astérisque 95, (1982). | Zbl | MR | Numdam

[S2] J. Sjöstrand, Propagation of analytic singularities for second order Dirichlet problems, Comm. P.D.E. 5(1), (1980), 41-94. | Zbl | MR

[S3] J. Sjöstrand, Propagation of analytic singularities for second order Dirichlet problems, II, III, Comm. P.D.E., 5(2), (1980), 187-207, 6(5), (1981), 499-567. | MR

[S4] J. Sjöstrand, Analytic singularities of solutions of boundary value problems, p. 235-269 dans Singularities in boundary value problems, Ed. H.G. Garnir, Nato ASI Series C, Vol. 65, Reidel (1981). | Zbl | MR

[V1] B. R. Vainberg, On the analytic properties of the resolvent for a certain class of operator-pencils, Mat. Sb 77(119), (1968), n° 2, Math. USSR. Sb. 6 (1968), n° 2. | Zbl | MR

[V2] B. R. Vainberg, On exterior elliptic problems ..., Mat. Sb. 92(134), (1973), n° 2, Math. USSR. Sb. 21 (1973), n° 2. | MR

[Z] M. Zworski, Sharp polynomial bounds on the number of scattering poles, Duke Math. J. 59(2), (1981), 311-325. | Zbl | MR