@article{AIHPA_1994__60_3_303_0,
author = {Stefanov, P. and Vodev, G.},
title = {Distribution of resonances for the {Neumann} problem in linear elasticity outside a ball},
journal = {Annales de l'I.H.P. Physique th\'eorique},
pages = {303--321},
year = {1994},
publisher = {Gauthier-Villars},
volume = {60},
number = {3},
mrnumber = {1281649},
zbl = {0805.73016},
language = {en},
url = {https://www.numdam.org/item/AIHPA_1994__60_3_303_0/}
}
TY - JOUR AU - Stefanov, P. AU - Vodev, G. TI - Distribution of resonances for the Neumann problem in linear elasticity outside a ball JO - Annales de l'I.H.P. Physique théorique PY - 1994 SP - 303 EP - 321 VL - 60 IS - 3 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPA_1994__60_3_303_0/ LA - en ID - AIHPA_1994__60_3_303_0 ER -
%0 Journal Article %A Stefanov, P. %A Vodev, G. %T Distribution of resonances for the Neumann problem in linear elasticity outside a ball %J Annales de l'I.H.P. Physique théorique %D 1994 %P 303-321 %V 60 %N 3 %I Gauthier-Villars %U https://www.numdam.org/item/AIHPA_1994__60_3_303_0/ %G en %F AIHPA_1994__60_3_303_0
Stefanov, P.; Vodev, G. Distribution of resonances for the Neumann problem in linear elasticity outside a ball. Annales de l'I.H.P. Physique théorique, Tome 60 (1994) no. 3, pp. 303-321. https://www.numdam.org/item/AIHPA_1994__60_3_303_0/
[A] , Wave Propagation in Elastic Solid, North Holland, New York, 1973.
[BLR] , and , Scattering Frequencies and Gevrey 3 Singularities, Invent. Math., Vol. 90, 1987, pp. 77-114. | Zbl | MR
[CP] and , Rayleigh Quasimodes in Linear Elasticity, Comm. P.D.E., Vol. 17, 1992, pp. 1327-1367. | Zbl | MR
[Gr] , The Propagation of Rayleigh Waves over Curved Surfaces at High Frequency, Proc. Cambridge Philos. Soc., Vol. 70, 1971, pp. 103-121. | Zbl
[G] , Existence and Uniqueness of a Rayleigh Surface Wave Propagating along the Free Boundary of a Transversely Isotropic Elastic Half Space, Math. Meth. Appl. Sci., Vol. 8, 1986, pp. 289-310. | Zbl | MR
[IN] and , Decaying and Nondecaying Properties of the Local Energy of an Elastic Wave outside an Obstacle, Japan J. Appl. Math., Vol. 6, 1989, pp. 83-95. | Zbl | MR
[IS] and , On the Analyticity of Spectral Function for Exterior Boundary Value Problems, Glas. Mat. Ser. III, 23, Vol. 43, 1988, pp. 291-313. | Zbl | MR
[K] , On the Local-Energy Decay Property for the Elastic Wave Equation with the Neumann Boundary Conditions, Duke Math. J., Vol. 67, 1992, pp. 333-351. | Zbl | MR
[LP] and , Scattering Theory, New York, Academic Press, 1967. | Zbl | MR
[MF] and , Methods of Theoretical Physics, McGrow-Hill, New York, 1953. | Zbl
[O1] , The Asymptotic Solution of Linear Differential Equations of Second Order for Large Values of a Parameter, Phylos. Trans. Royal Soc. London Ser. A., Vol. 247, pp. 307-327. | Zbl | MR
[02] , The Asymptotic Expansion of Bessel Functions of Large Order, Phylos. Trans. Royal Soc. London Ser. A., Vol. 247, pp. 328-368. | Zbl | MR
[03] , Asymptotics and Special Functions, Academic Press, New York, London, 1974. | Zbl | MR
[P] , Calculs des pôles de résonance associés à la diffraction d'ondes acoustiques et élastiques en dimension 2, thèse, Université Paris-IX.
[R] , On Waves Propagated along Plane Surface of an Elastic Solid, Proc. London Math. Soc., Vol. 17, 1885, pp.4-11. | JFM
[RS] and , Methods of Modern Mathematical Physics II, Academic Press, New York, 1975. | MR
[SZ] and , Complex scaling and the distribution of scattering poles, J. Amer. Math. Soc., Vol. 4, 4, 1991, pp. 729-769. | Zbl | MR
[SS] and , Scattering Theory for the Elastic Wave Equation, Publ. R.I.M.S., Vol. 25, 1989, pp. 861-887. | Zbl | MR
[T] , 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, pp. 273-291. | Zbl | MR
[To] , Exponential Decay of Solutions for the Wave Equation in the Exterior Domain with Spherical Boundary, J. Math. Kyoto Univ., Vol. 12, 1972, pp. 413-430. | Zbl | MR
[V] , Asymptotic Methods in Equations of Mathematical Physics, Gordon and Breach sci. publ., New York, 1988. | MR





