Resonances for metric (and other) bottles.

Johannes Sjöstrand[1]

  • [1] Centre de Mathématiques, Ecole Polytechnique, F-91128 Palaiseau, cedex

Séminaire Équations aux dérivées partielles (1999-2000)

  • Volume: 1999-2000, page 1-8

How to cite

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Sjöstrand, Johannes. "Resonances for metric (and other) bottles.." Séminaire Équations aux dérivées partielles 1999-2000 (1999-2000): 1-8. <http://eudml.org/doc/10989>.

@article{Sjöstrand1999-2000,
affiliation = {Centre de Mathématiques, Ecole Polytechnique, F-91128 Palaiseau, cedex},
author = {Sjöstrand, Johannes},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {Weyl asymptotics},
language = {eng},
pages = {1-8},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Resonances for metric (and other) bottles.},
url = {http://eudml.org/doc/10989},
volume = {1999-2000},
year = {1999-2000},
}

TY - JOUR
AU - Sjöstrand, Johannes
TI - Resonances for metric (and other) bottles.
JO - Séminaire Équations aux dérivées partielles
PY - 1999-2000
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 1999-2000
SP - 1
EP - 8
LA - eng
KW - Weyl asymptotics
UR - http://eudml.org/doc/10989
ER -

References

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  1. B. Helffer, J. Sjöstrand, Résonances en limite semiclassique, Bull. de la SMF 114(3), Mémoire 24/25 (1986). Zbl0631.35075
  2. G. Popov, On the contribution of degenerate periodic trajectories to the wave-trace, Comm. Math. Phys., 196(2)(1998), 363–383. Zbl0924.58100MR1645007
  3. V. Petkov, M. Zworski, Breit-Wigner approximation and the distribution of resonances, Comm. Math. Phys., 204(2)(1999), 329–351. Zbl0936.47004MR1704278
  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. Zbl0877.35090MR1451399
  5. J. Sjöstrand, Resonances for bottles and trace formulae, Math. Nachr., to appear. Zbl0979.35109MR1806367
  6. J. Sjöstrand, M. Zworski, Complex scaling and the distribution of scattering poles, J. of AMS 4(4)(1992), 1021–1035 Zbl0752.35046MR1177304
  7. J. Sjöstrand, M. Zworski, Lower bounds on the number of scattering poles, Comm. PDE 18(5–6)(1993), 847–857. Zbl0784.35070MR1218521
  8. P. Stefanov, Quasimodes and resonances: sharp lower bounds, Duke Math. J., 99(1)(1999), 75–92. Zbl0952.47013MR1700740
  9. P. Stefanov, G. Vodev, Neumann resonances in linear elasticity for an arbitrary body, Comm. Math. Phys. 176(1996), 645–659. Zbl0851.35032MR1376435
  10. S.U. Tang, M. Zworski, From quasimodes to resonances, Math. Res. Lett., 5(3)(1998), 261–272. Zbl0913.35101MR1637824
  11. G. Vodev, On the distribution of scattering poles for perturbations of the Laplacian, Ann. Inst. Fourier 40(1992), 625–635. Zbl0738.35054MR1182642
  12. G. Vodev, Asymptotics on the number of scattering poles for degenerate perturbations of the Laplacian, J. Funct. Anal., 138(2)(1996), 295–310. Zbl0862.35082MR1395960

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