A sharp result on the poles localization for a Gevrey convex body
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1996-1997), Talk no. 1, 9 p.

In this talk we extend to Gevrey-s obstacles with 1s<3 a result on the poles free zone due to J. Sjöstrand [8] for the analytic case.

Lascar, Bernard 1; Lascar, Richard 2

1 CNRS, Institut de Mathematiques de Jussieu
2 Universite Paris 7, Institut de Mathematiques de Jussieu
@article{SEDP_1996-1997____A1_0,
     author = {Lascar, Bernard and Lascar, Richard},
     title = {A sharp result on the poles localization for a {Gevrey} convex body},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
     note = {talk:1},
     pages = {1--9},
     publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     year = {1996-1997},
     zbl = {1081.35504},
     mrnumber = {1482807},
     language = {en},
     url = {http://www.numdam.org/item/SEDP_1996-1997____A1_0/}
}
TY  - JOUR
AU  - Lascar, Bernard
AU  - Lascar, Richard
TI  - A sharp result on the poles localization for a Gevrey convex body
JO  - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
N1  - talk:1
PY  - 1996-1997
SP  - 1
EP  - 9
PB  - Centre de mathématiques Laurent Schwartz, École polytechnique
UR  - http://www.numdam.org/item/SEDP_1996-1997____A1_0/
LA  - en
ID  - SEDP_1996-1997____A1_0
ER  - 
%0 Journal Article
%A Lascar, Bernard
%A Lascar, Richard
%T A sharp result on the poles localization for a Gevrey convex body
%J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
%Z talk:1
%D 1996-1997
%P 1-9
%I Centre de mathématiques Laurent Schwartz, École polytechnique
%U http://www.numdam.org/item/SEDP_1996-1997____A1_0/
%G en
%F SEDP_1996-1997____A1_0
Lascar, Bernard; Lascar, Richard. A sharp result on the poles localization for a Gevrey convex body. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1996-1997), Talk no. 1, 9 p. http://www.numdam.org/item/SEDP_1996-1997____A1_0/

[1] Bardos C, G. Lebeau and J. Rauch: Scattering frequencies and Gevrey 3 singularities. Invent. Mat. 90, 77–114. (1987). | EuDML | MR | Zbl

[2] Hargé T, and G. Lebeau: Diffraction par un obstacle convexe. Invent. Math. 118, 161–196. (1994). | EuDML | MR | Zbl

[3] Hörmander, L: The Analysis of Linear Partial Differential Operators. Volume III. Springer-Verlag 256. | Zbl

[4] Lascar, B: Propagation des singularités Gevrey pour des opérateurs hyberboliques. American Journal of Mathematics 110, 413–449. (1988). | MR | Zbl

[5] Lascar, B: Propagation des singularités Gevrey pour des problèmes aux limites hyperboliques. Comm. in Partial Diff. Equations. 3 (5), 551–571. (1988). | MR | Zbl

[6] Lascar, B and R. Lascar: Propagation des singularités Gevrey pour la diffraction. Comm. in Partial Diff. Equation 16 (4 & 5), 547–584. (1991). | MR | Zbl

[7] Lerner, N: Energy methods via coherent states and advanced pseudo-differential calculus. A paraître dans le volume publié a l’occasion du soixante-cinquieme anniversaire du professeur François Trèves | Zbl

[8] Sjöstrand, J: Density of resonances for strictly convex analytic obstacles. Cann. J. Math. 48 (2), 397–447. (1996). | MR | Zbl

[9] Sjöstrand, J and M. Zworsky: Estimates on the number of scattering poles near the real for strictly convex obstacles. Ann. Inst. Fourier 43 (3), 769–790. (1993). | EuDML | Numdam | MR | Zbl

[10] Sjöstrand, J and M. Zworsky: The complex scaling method for scattering by strictly convex obstacles. Arkiv f. Mathematik 33, 1 35–172. (1995). | MR | Zbl