@article{SEDP_1993-1994____A11_0, author = {Vodev, G. and Stefanov, P.}, title = {Distribution des r\'esonances pour le syst\`eme de l'\'elasticit\'e}, journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"}, note = {talk:10}, pages = {1--8}, publisher = {Ecole Polytechnique, Centre de Math\'ematiques}, year = {1993-1994}, zbl = {0900.35258}, mrnumber = {1300906}, language = {fr}, url = {http://www.numdam.org/item/SEDP_1993-1994____A11_0/} }
TY - JOUR AU - Vodev, G. AU - Stefanov, P. TI - Distribution des résonances pour le système de l'élasticité JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:10 PY - 1993-1994 SP - 1 EP - 8 PB - Ecole Polytechnique, Centre de Mathématiques UR - http://www.numdam.org/item/SEDP_1993-1994____A11_0/ LA - fr ID - SEDP_1993-1994____A11_0 ER -
%0 Journal Article %A Vodev, G. %A Stefanov, P. %T Distribution des résonances pour le système de l'élasticité %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:10 %D 1993-1994 %P 1-8 %I Ecole Polytechnique, Centre de Mathématiques %U http://www.numdam.org/item/SEDP_1993-1994____A11_0/ %G fr %F SEDP_1993-1994____A11_0
Vodev, G.; Stefanov, P. Distribution des résonances pour le système de l'élasticité. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1993-1994), Exposé no. 10, 8 p. http://www.numdam.org/item/SEDP_1993-1994____A11_0/
[A] Wave Propagation in Elastic Solid, North Holland, New York, 1973. | Zbl
,[BLR] Scattering frequencies and Gevrey 3 singularities, Invent. Math. 90(1987), 77-114. | MR | Zbl
, ,[CP] Rayleigh quasimodes in linear elasticity, Comm. P.D.E. 17(1992), 1327-1367. | MR | Zbl
AND ,[D] Oscillatory integrals, Lagrange immersions and unfolding of singularities, Comm. Pure Appl. Math. 27(1974), 207-281. | MR | Zbl
,[G] Asymptotique des poles de la matrice de scattering pour deux obstacles strictement convex, Bull. Soc. Math. France, Mémoire n. 31, 116, 1988. | Numdam | MR | Zbl
,[Gr] The propagation of Rayleigh waves over curved surfaces at high frequency, Proc. Cambridge Philos. Soc. 70(1971), 103-121. | Zbl
,[Gu] Existence and uniqueness of a Rayleigh surface wave propagating along the free bowndary of a transversely isotropic elastic half space, Math. Meth. Appl. Sci. 8(1986), 289-310. | MR | Zbl
,[HL] Diffraction par un convexe, preprint, Univ. Paris-Sud, 1993.
,[I1] On the poles of the scattering matrix for two strictly convex obstacles, J. Math. Kyoto Univ. 23-1(1983), 127-194. | MR | Zbl
,[I2] Precise information on the poles of the scattering matrix for two strictly convex obstacles, J. Math. Kyoto Univ. 27-1 (1987),69-102. | MR | Zbl
,[I3] Trapping obstacles with a sequence of poles of the scattering matrix converging to the real axis, Osaka J. Math. 22 (1985), 657-689. | MR | Zbl
,[IN] Decaying and nondecaying properties of the local energy of an elastic wave outside an obstacle, Japan J. Appl. Math. 6(1989), 83-95. | MR | Zbl
,[K] On the local-energy decay property for the elastic wave equation with the Neumann boundary conditions, Duke Math. J. 67(1992), 333-351. | MR | Zbl
,[LP1] Scattering Theory, New York, Academic Press, 1967. | MR | Zbl
,[LP2] A logarithmic bound on the location of the poles of the scattering matrix, Arch. Rat. Mech. Anal. 40 (1971), 268-280. | MR | Zbl
,[M] Polynomial bounds on the distribution of poles in scattering by an obstacle, Journées Équations aux dérivées partielles, Saint-Jean de Monts, 1984. | Numdam | Zbl
,[M81] Singularities of boundary value problems, I, Comm. Pure Appl. Math. 31(1978), 593-617. | MR | Zbl
[MS2] Singularities of boundary value problems, II, Comm. Pure Appl. Math. 35(1982), 129-168 | MR | Zbl
And ,[R] On waves propagated along plane surface of an elastic solid, Proc. London Math. Soc. 17(1885), 4-11. | JFM
,[S] Pseudodifferential Operators and Spectral Theory, Springer, Berlin, Heidelberg, New York. 1987. | MR | Zbl
,[SZ] The complex scaling method for scattering by strictly convex obstacles, preprint, Mittag-Leffler Inst., 1993. | MR | Zbl
AND[SV1] Distribution of resonances for the Neumann problem in linear ellasticity outside a ball, Ann. Inst. II. Poincaré (Physique Théorique), to appear. | Numdam | MR | Zbl
AND ,[SV2] Distribution of resonances for the Neumann problem in linear ellasticity in the exterior of a strictly convex body, submitted. | Zbl
AND ,[T1] Rayleigh waves in linear elasticity as a propagation of singularities phenomenon, in Proc. Conf. on P.D.E. and Geometry, Marcel Dekker, New York, 1979, 273-291. | MR | Zbl
,[T2] Pseododifferential Operators, Princeton University Press, Princeton, 1981. | MR | Zbl
,[Ti] The Theory of Functions, Oxford Univ. Press, Oxford, 1968. | JFM
,[Y] Singularities of solutions to the boundary value problems for elastic and Maxwell's equations, Japan J. Math. 14(1988), 119-163. | MR | Zbl
,[Va] Asymptotic Methods in Equations of Mathematical Physics, Gordon and Breach sci. publ., New York. 1988. | MR | Zbl
,[Vo] Sharp bounds on the number of scattering poles for perturbations of the Laplacian, Comm. Math. Phys. 146 (1992), 205-216. | MR | Zbl
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