Sur les fréquences de diffusion (scattering) d'un corps élastique couplé avec l'air

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1. [1] S. Agmon. «Lectures on Elliptic Boundary value problems». Van Nostrand (1965). Zbl0142.37401MR178246
2. [2] E.B. Bykhowskii. «Résolution des problèmes mixtes pour les systèmes de Maxwell». Vestnik Leningrad Univ. (1957), n° 13, p. 50-56 (en russe). 
3. [3] K.O. Friederichs, H. Weyl. «Differential forms on Riemanian Manifolds». C.P.A.M.8,1955. Zbl0066.07504
4. [4] L. Hormander. «Linear partial differential operators». Springer-Verlag (1963). Zbl0108.09301
5. [5] T. Kato. «Perturbation theory for linear operators». Springer-Verlag. Zbl0148.12601
6. [6] A.E.H. Love. «A trealise on the mathematical theory of elasticity». Dover-New-York. Zbl0063.03651
7. [7] W.C. Lyford. «A two Hilbert spaces scattering theorem». Math. Ann.217 (1975). Zbl0323.47006MR448127
8. [8] A. Majda. «Outgoing solutions for perturbations of -Δ». J. of Diff. Eq.16 (1974). Zbl0291.35067MR425385
9. [9] C. Miranda. «Partial differential equations of elliptic type». Springer-Verlag. Zbl0198.14101MR284700
10. [10] E. Sanchez-Palencia. «Perturbations spectrales liées à la vibration d'un corps élastique dans l'air, dans «Singular Perturbations and boundary layer theory 1977»». Lectures Notes in Math.Springer n° 594. Zbl0359.73043MR478938
11. [11] N. Schenk and D. Thoe. «Outgoing solutions of (-Δ+q-k2)u = f in an exterior domain». J. of Math. Anal. Appl.31 (1970). Zbl0201.13202MR262699
12. [12] W. Steinspring. «A sufficient condition for an integral operators to have a trace». J. Reine Angew Math.200 (1958). Zbl0095.09501MR98986
13. [13] S. Steinberg. «Meromorphic families of compact operators». A.R.M.A.31 (1968). Zbl0167.43002MR233240
14. [14] C.H. Wilcox. «Scattering states and wawe operators». J.F.A.12 (1973). Zbl0248.47006MR344912
15. C.H. Wilcox. «Scattering theory for the d'Alembert's wave equation». Lectures Notes n° 442Springer. Zbl0299.35002MR725334
16. [15] P.D. Lax, R.S. Phillips. «Scattering theory». Academic Press (1967. Zbl0186.16301MR217440
17. [16] J.L. Lions. «Equations différentielles opérationelles». Springer-Verlag (1961). Zbl0098.31101MR153974

1. R. Ohayon, E. Sanchez-Palencia, On the vibration problem for an elastic body surrounded by a slightly compressible fluid