Distribution of resonances for the Neumann problem in linear elasticity outside a ball
Annales de l'I.H.P. Physique théorique (1994)
- Volume: 60, Issue: 3, page 303-321
- ISSN: 0246-0211
Access Full Article
topHow to cite
topStefanov, P., and Vodev, G.. "Distribution of resonances for the Neumann problem in linear elasticity outside a ball." Annales de l'I.H.P. Physique théorique 60.3 (1994): 303-321. <http://eudml.org/doc/76637>.
@article{Stefanov1994,
author = {Stefanov, P., Vodev, G.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {convergence; existence; cubic parabola},
language = {eng},
number = {3},
pages = {303-321},
publisher = {Gauthier-Villars},
title = {Distribution of resonances for the Neumann problem in linear elasticity outside a ball},
url = {http://eudml.org/doc/76637},
volume = {60},
year = {1994},
}
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
PB - Gauthier-Villars
VL - 60
IS - 3
SP - 303
EP - 321
LA - eng
KW - convergence; existence; cubic parabola
UR - http://eudml.org/doc/76637
ER -
References
top- [A] J.D. Achenbach, Wave Propagation in Elastic Solid, North Holland, New York, 1973. Zbl0268.73005
- [BLR] C. Bardos, G. Lebeau and J. Rauch, Scattering Frequencies and Gevrey 3 Singularities, Invent. Math., Vol. 90, 1987, pp. 77-114. Zbl0723.35058MR906580
- [CP] F. Cardoso and G. Popov, Rayleigh Quasimodes in Linear Elasticity, Comm. P.D.E., Vol. 17, 1992, pp. 1327-1367. Zbl0795.35067MR1179289
- [Gr] R. Gregory, The Propagation of Rayleigh Waves over Curved Surfaces at High Frequency, Proc. Cambridge Philos. Soc., Vol. 70, 1971, pp. 103-121. Zbl0218.73036
- [G] J.C. Guillot, 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. Zbl0606.73024MR845932
- [IN] M. Ikehata and G. Nakamura, 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. Zbl0696.73017MR981515
- [IS] H. Iwashita and Y. Shibata, On the Analyticity of Spectral Function for Exterior Boundary Value Problems, Glas. Mat. Ser. III, 23, Vol. 43, 1988, pp. 291-313. Zbl0696.35120MR1012030
- [K] M. Kawashita, 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. Zbl0795.35061MR1177309
- [LP] P.D. Lax and R.S. Phillips, Scattering Theory, New York, Academic Press, 1967. Zbl0186.16301MR217440
- [MF] P. Morse and H. Feshbach, Methods of Theoretical Physics, McGrow-Hill, New York, 1953. Zbl0051.40603
- [O1] F. Olver, 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. Zbl0070.30801MR67249
- [02] F. Olver, The Asymptotic Expansion of Bessel Functions of Large Order, Phylos. Trans. Royal Soc. London Ser. A., Vol. 247, pp. 328-368. Zbl0070.30801MR67250
- [03] F. Olver, Asymptotics and Special Functions, Academic Press, New York, London, 1974. Zbl0303.41035MR435697
- [P] O. Poisson, Calculs des pôles de résonance associés à la diffraction d'ondes acoustiques et élastiques en dimension 2, thèse, Université Paris-IX.
- [R] Lord Rayleigh, On Waves Propagated along Plane Surface of an Elastic Solid, Proc. London Math. Soc., Vol. 17, 1885, pp.4-11. Zbl17.0962.01JFM17.0962.01
- [RS] M. Reed and B. Simon, Methods of Modern Mathematical Physics II, Academic Press, New York, 1975. MR751959
- [SZ] J. Sjöstrand and M. Zworski, Complex scaling and the distribution of scattering poles, J. Amer. Math. Soc., Vol. 4, 4, 1991, pp. 729-769. Zbl0752.35046MR1115789
- [SS] Y. Shibata and H. Soga, Scattering Theory for the Elastic Wave Equation, Publ. R.I.M.S., Vol. 25, 1989, pp. 861-887. Zbl0714.35066MR1045996
- [T] M. Taylor, 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. Zbl0432.73021MR535598
- [To] T. Tokita, 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. Zbl0242.35049MR303096
- [V] B.R. Vainberg, Asymptotic Methods in Equations of Mathematical Physics, Gordon and Breach sci. publ., New York, 1988. Zbl0518.35002MR1054376
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.