Resonances for metric (and other) bottles.
Sjöstrand, Johannes1
1 Centre de Mathématiques, Ecole Polytechnique, F-91128 Palaiseau, cedex
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1999-2000), Exposé no. 15, 8 p.
Sjöstrand, Johannes 1

1 Centre de Mathématiques, Ecole Polytechnique, F-91128 Palaiseau, cedex 
@article{SEDP_1999-2000____A15_0,
     author = {Sj\"ostrand, Johannes},
     title = {Resonances for metric (and other) bottles.},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
     note = {talk:15},
     pages = {1--8},
     publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     year = {1999-2000},
     zbl = {1069.35501},
     mrnumber = {1813178},
     language = {en},
     url = {http://www.numdam.org/item/SEDP_1999-2000____A15_0/}
}
TY  - JOUR
AU  - Sjöstrand, Johannes
TI  - Resonances for metric (and other) bottles.
JO  - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
N1  - talk:15
PY  - 1999-2000
SP  - 1
EP  - 8
PB  - Centre de mathématiques Laurent Schwartz, École polytechnique
UR  - http://www.numdam.org/item/SEDP_1999-2000____A15_0/
LA  - en
ID  - SEDP_1999-2000____A15_0
ER  - 
%0 Journal Article
%A Sjöstrand, Johannes
%T Resonances for metric (and other) bottles.
%J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
%Z talk:15
%D 1999-2000
%P 1-8
%I Centre de mathématiques Laurent Schwartz, École polytechnique
%U http://www.numdam.org/item/SEDP_1999-2000____A15_0/
%G en
%F SEDP_1999-2000____A15_0
Sjöstrand, Johannes. Resonances for metric (and other) bottles.. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1999-2000), Exposé no. 15, 8 p. http://www.numdam.org/item/SEDP_1999-2000____A15_0/

[1] B. Helffer, J. Sjöstrand, Résonances en limite semiclassique, Bull. de la SMF 114(3), Mémoire 24/25 (1986). | EuDML | Numdam | Zbl

[2] G. Popov, On the contribution of degenerate periodic trajectories to the wave-trace, Comm. Math. Phys., 196(2)(1998), 363–383. | MR | Zbl

[3] V. Petkov, M. Zworski, Breit-Wigner approximation and the distribution of resonances, Comm. Math. Phys., 204(2)(1999), 329–351. | MR | Zbl

[4] J. Sjöstrand, A trace formula and review of some estimates for resonances, p. 377–437 in Microlocal analysis and spectral theory, NATO ASI Series C, vol. 490, Kluwer 1997. | MR | Zbl

[5] J. Sjöstrand, Resonances for bottles and trace formulae, Math. Nachr., to appear. | MR | Zbl

[6] J. Sjöstrand, M. Zworski, Complex scaling and the distribution of scattering poles, J. of AMS 4(4)(1992), 1021–1035 | MR | Zbl

[7] J. Sjöstrand, M. Zworski, Lower bounds on the number of scattering poles, Comm. PDE 18(5–6)(1993), 847–857. | MR | Zbl

[8] P. Stefanov, Quasimodes and resonances: sharp lower bounds, Duke Math. J., 99(1)(1999), 75–92. | MR | Zbl

[9] P. Stefanov, G. Vodev, Neumann resonances in linear elasticity for an arbitrary body, Comm. Math. Phys. 176(1996), 645–659. | MR | Zbl

[10] S.U. Tang, M. Zworski, From quasimodes to resonances, Math. Res. Lett., 5(3)(1998), 261–272. | MR | Zbl

[11] G. Vodev, On the distribution of scattering poles for perturbations of the Laplacian, Ann. Inst. Fourier 40(1992), 625–635. | Numdam | MR | Zbl

[12] G. Vodev, Asymptotics on the number of scattering poles for degenerate perturbations of the Laplacian, J. Funct. Anal., 138(2)(1996), 295–310. | MR | Zbl