A criterion of the continuous spectrum for elasticity and other self-adjoint systems on sharp peak-shaped domains

Comptes Rendus - Mecanique

Volumn 335, Issue 12, 2007, Pages 751-756

  Nazarov, Sergey A ^a  

^a INSTITUTE OF PROBLEMS OF MECHANICAL ENGINEERING   (Russian Federation)

Author keywords

Computational solid mechanics; Continuous and discrete spectra; Cusp; Elasticity system; Essential; Peak

Indexed keywords

DIFFERENTIAL EQUATIONS; ELASTICITY; PIEZOELECTRICITY; PROBLEM SOLVING;

DOMAIN STRUCTURE; ELASTICITY; ELECTRICITY; EQUATION; SOLID; SPECTRUM;

EID: 36849096078     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crme.2007.10.019     Document Type: Article

References (11)

1. Nazarov S.A. Asymptotic Theory of Thin Plates and Rods. Vol. 1. Dimension Reduction and Integral Estimates (2001), Nauchnaya Kniga, Novosibirsk
2. Birman M.Sh., and Solomyak M.Z. Spectral Theory of Selfadjoint Operators in Hilbert Space (1987), D. Reidel Publ. Co., Dordrecht
3. Nazarov S.A. Math. Notes 62 (1997) 629-641 Erratum:
4. Nazarov S.A. Math. Notes 63 (1998) 565
5. Sanchez-Palencia E. C. R. Acad. Sci. Paris, Ser. 2 311 (1990) 909-916
6. Nazarov S.A. Siberian Math. J. 41 (2000) 744-759
7. Nečas J. Les méthodes in théorie des équations elliptiques (1967), Masson-Academia, Paris-Prague
8. Nazarov S.A. J. Math. Sci. 92 6 (1998) 4338-4353
9. Kozlov V.A., Maz'ya V.G., and Rossmann J. Elliptic Boundary Value Problems in Domains with Point Singularities (1997), Amer. Math. Soc., Providence
10. Nazarov S.A. Russ. Math. Surveys 54 5 (1999) 947-1014
11. Nazarov S.A. J. Math. Sci. 114 (2003) 1657-1725