Hachem, Ghias Sur les frequences de diffusion (scattering) d’un corps élastique couple avec l’air. (French) Zbl 0481.35070 Ann. Fac. Sci. Toulouse, V. Ser., Math. 2, 193-218 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 Documents MSC: 35P25 Scattering theory for PDEs 35B20 Perturbations in context of PDEs 74A55 Theories of friction (tribology) 74M15 Contact in solid mechanics Keywords:interaction of an elastic body with air; meromorphic extension of its resolvent; scattering frequencies; resonance; exterior boundary value problem; wave operator PDF BibTeX XML Cite \textit{G. Hachem}, Ann. Fac. Sci. Toulouse, Math. (5) 2, 193--218 (1980; Zbl 0481.35070) Full Text: DOI Numdam EuDML OpenURL References: [1] Agmon, S.. «Lectures on Elliptic Boundary value problems». Van Nostrand (1965). · Zbl 0142.37401 [2] Bykhowskii, E.B.. «Résolution des problèmes mixtes pour les systèmes de Maxwell». Vestnik Leningrad Univ. (1957), n° 13, p. 50-56 (en russe). [3] Friederichs, K.O., Weyl, H.. «Differential forms on Riemanian Manifolds». C.P.A.M.8,1955. · Zbl 0066.07504 [4] Hormander, L.. «Linear partial differential operators». Springer-Verlag (1963). · Zbl 0108.09301 [5] Kato, T.. «Perturbation theory for linear operators». Springer-Verlag. · Zbl 0148.12601 [6] Love, A.E.H.. «A trealise on the mathematical theory of elasticity». Dover-New-York. · Zbl 0063.03651 [7] Lyford, W.C.. «A two Hilbert spaces scattering theorem». Math. Ann.217 (1975). · Zbl 0323.47006 [8] Majda, A.. «Outgoing solutions for perturbations of -Δ». J. of Diff. Eq.16 (1974). · Zbl 0291.35067 [9] Miranda, C.. «Partial differential equations of elliptic type». Springer-Verlag. · Zbl 0198.14101 [10] Sanchez-Palencia, E.. «Perturbations spectrales liées à la vibration d’un corps élastique dans l’air, dans «Singular Perturbations and boundary layer theory 1977»». Springer n° 594. · Zbl 0359.73043 [11] Schenk, N. and Thoe, D.. «Outgoing solutions of (-Δ+q-k2)u = f in an exterior domain». J. of Math. Anal. Appl.31 (1970). · Zbl 0201.13202 [12] Steinspring, W.. «A sufficient condition for an integral operators to have a trace». J. Reine Angew Math.200 (1958). · Zbl 0095.09501 [13] Steinberg, S.. «Meromorphic families of compact operators». A.R.M.A.31 (1968). · Zbl 0167.43002 [14] Wilcox, C.H.. «Scattering states and wawe operators». J.F.A.12 (1973). · Zbl 0248.47006 [15] Wilcox, C.H.. «Scattering theory for the d’Alembert’s wave equation». n° 442Springer. · Zbl 0299.35002 [16] Lax, P.D., Phillips, R.S.. «Scattering theory». Academic Press (1967. · Zbl 0186.16301 [17] Lions, J.L.. «Equations différentielles opérationelles». Springer-Verlag (1961). · Zbl 0098.31101 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.