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Volumn 5, Issue 3, 2001, Pages 275-295

Asymptotics of eigenvalues of a plate with small clamped zone

Author keywords

Asymptotic expansions; Biharmonic operator; Holomorphy; Outer and inner expansions; Sobolev problem; Spectral problem; Weighted sobolev spaces

Indexed keywords


EID: 0035458266     PISSN: 13851292     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011469822255     Document Type: Article
Times cited : (22)

References (15)
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  • 3
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    • Campbell, A. and Nazarov, S.A.: Une justification de la méthode de raccordement de développements asymptotiques appliquée à un problème de plaque, J. Mathématiques Pures et Appliquées. (Série 9) 76(1) (1997), 15-54.
    • (1997) J. Mathématiques Pures et Appliquées. (Série 9) , vol.76 , Issue.1 , pp. 15-54
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  • 4
    • 0032399545 scopus 로고    scopus 로고
    • An asymptotic study of a plate problem by a rearrangement method. Application to the mechanical impedance
    • Campbell, A. and Nazarov, S.A.: An asymptotic study of a plate problem by a rearrangement method. Application to the mechanical impedance, Mathematical Modelling and Numerical Analysis 32(5) (1998) 579-610.
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  • 8
    • 85017236471 scopus 로고
    • Kondratiev, V.: Boundary value problems for elliptic equations in domains with conical or angular points (in Russian), Trudy Moskov. Mat. Obshch. 16 (1967), 209-212, translated into English in Trans. Moskov. Math. Soc. 16 (1967).
    • (1967) Trans. Moskov. Math. Soc. , vol.16
  • 9
    • 0000369741 scopus 로고
    • Asymptotic expansions of the eigenvalues of boundary value problems for the laplace operator in domains with small holes
    • Maz'ya, V.G., Nazarov, S.A. and Plamenevski, B.A.: Asymptotic expansions of the eigenvalues of boundary value problems for the Laplace operator in domains with small holes, Izv. Akad. Nauk SSSR. Ser. Mat. 48(2) (1984), 347-371, translated into English in Math. USSR Izvestiya 24 (1985), 321-345.
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  • 10
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    • Maz'ya, V.G., Nazarov, S.A. and Plamenevski, B.A.: Asymptotic expansions of the eigenvalues of boundary value problems for the Laplace operator in domains with small holes, Izv. Akad. Nauk SSSR. Ser. Mat. 48(2) (1984), 347-371, translated into English in Math. USSR Izvestiya 24 (1985), 321-345.
    • (1985) Math. USSR Izvestiya , vol.24 , pp. 321-345
  • 12
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    • Oscillations of elastic bodies with small holes
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.