Density of resonances for strictly convex analytic obstacles

Canadian Journal of Mathematics

Volumn 48, Issue 2, 1996, Pages 397-447

  Sjöstrand, Johannes ^a  

^a ECOLE POLYTECHNIQUE   (France)

Author keywords

FBI transform; Resonance

Indexed keywords

EID: 0030524323     PISSN: 0008414X     EISSN: None     Source Type: Journal    
DOI: 10.4153/CJM-1996-022-9     Document Type: Article

References (13)

1. V. M. Babich and N. S. Grigoreva, The analytic continuation of the resolvent of the exterior three dimensional problem for the Laplace operator to second sheet, Funktsional Anal, i Prilozhen. (1) 8(1974), 71-74.
2. C. Bardos, G. Lebeau and J. Rauch, Scattering frequencies and Gevrey 3 singularities, Invent. Math. 90(1987), 77-114.
3. A. Besse, Manifolds all of whose geodesics are closed, Springer Verlag, 1978.
4. L. Boutet de Monvel and J. Sjöstrand, Sur la singularité des noyaux de Bergman et de Szegö, Astérisque 34-35(1976), 123-164.
5. V. B. Filippov and A. B. Zayev, Rigorous justification of the asymptotic solutions of sliding wave type, J. Soviet Math. (2) 30(1985), 2395-2406.
6. T. Hargé and G. Lebeau, Diffraction par un convexe, Invent. Math. (1) 118(1994), 161-196.
7. B. Helffer and J. Sjöstrand, Résonances en limite semiclassique, Bull. Soc. Math. France (3) 114, Mémoire 24/25, (1986).
8. G. Lebeau, Régularité Gevrey 3, pour la diffraction, Comment. Partial Differential Equations (15) 9(1984), 1437-1494.
9. G. Popov, Asymptotics of Green's functions in the shadow, C. R. Acad. Bulgare Sci. (10) 38(1985), 1287-1290.
10. J. Sjöstrand, Propagation of analytic singularities for second order Dirichlet problems, Comment. Partial Differential Equationa (1) 5(1980), 41-94.
11. _, Singularités analytiques microlocales, Astérisque 95(1982).
12. J. Sjöstrand and M. Zworski, Estimates on the number of scattering poles near the real axis for strictly convex obstacles, Ann. Inst. Fourier (3) 43(1993), 769-790.
13. _, The complex scaling method for scattering by strictly convex obstacles, Institut Mittag-Leffler 10, Ark. Mat., 1992-1993, preprint, to appear.