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Volumn 331, Issue 10, 2003, Pages 667-672

Self adjoint extensions of differential operators in application to shape optimization

Author keywords

Computational solid mechanics; Error estimates; Self adjoint extensions; Variational formulation

Indexed keywords

SOLID;

EID: 0142183634     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crme.2003.07.003     Document Type: Article
Times cited : (19)

References (22)
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    • A.M. Il'in, A boundary value problem for the elliptic equation of second order in a domain with a narrow slit. I. The two-dimensional case. Mat. Sb. 99 (141) (1976) 514-537; English translation: Math. USSR-Sb. 28 (1976).
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    • English translation
    • F.A. Berezin, L.D. Faddeev. Remark on the Schrödinger equation with singular potential, Dokl. Akad. Nauk SSSR 137 (1961) 1011-1014; English translation: Soviet Math. Dokl. 2 (1961) 372-375.
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    • English translation
    • S.A. Nazarov, Asymptotic conditions at points, self adjoint extensions of operators and the method of matched asymptotic expansions, Trudy St.-Petersburg Mat. Obshch. 5 (1996) 112-183 (in Russian); English translation: Trans. Amer. Math. Soc. Ser. 2 193 (1999) 77-126.
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    • English translation
    • V.G. Maz'ya, S.A. Nazarov, B.A. Plamenevskii, 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; English translation: Math. USSR-Izv. 24 (1985) 321-345.
    • (1985) Math. USSR-Izv. , vol.24 , pp. 321-345
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    • English translation
    • I.V. Kamotski, S.A. Nazarov, Spectral problems in singular perturbed domains and self adjoint extensions of differential operators, Trudy St. Petersburg Mat. Obshch. 6 (1998) 151-212; English translation: Proc. St. Petersburg Math. Soc. 6 (2000) 127-181; Amer. Math. Soc. Transl. Ser. 2, Vol. 199, American Mathematical Society, Providence, RI
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    • I.V. Kamotski, S.A. Nazarov, Spectral problems in singular perturbed domains and self adjoint extensions of differential operators, Trudy St. Petersburg Mat. Obshch. 6 (1998) 151-212; English translation: Proc. St. Petersburg Math. Soc. 6 (2000) 127-181; Amer. Math. Soc. Transl. Ser. 2, Vol. 199, American Mathematical Society, Providence, RI
    • Amer. Math. Soc. Transl. Ser. 2 , vol.199
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