Modeling of a singularly perturbed spectral problem by means of self-adjoint extensions of the operators of the limit problems

DOI10.1007/s10688-015-0080-5zbMath1325.47093OpenAlexW2009885767MaRDI QIDQ498348

Sergueï A. Nazarov

Publication date: 28 September 2015

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-015-0080-5

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05)

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Cites Work

• On singularities of the stress function at the corner points of the transverse cross-section of a twisted bar with a thin reinforcing layer
• Asymptotic analysis and modeling of the jointing of a massive body with thin rods
• Local problems for vibrating systems with concentrated masses: a review
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Junctions of singularly degenerating domains with different limit dimensions
• Elliptic problems in domains with piecewise smooth boundaries
• Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. I. Transl. from the German by Georg Heinig and Christian Posthoff
• Junctions of singularly degenerating domains with different limit dimensions. II
• A generalized Green's formula for elliptic problems in domains with edges
• Elliptic boundary value problems on hybrid domains
• Asymptotic behavior of the eigenvalues of the Steklov problem on a junction of domains of different limiting dimensions
• Concentration of trapped modes in problems of the linearized theory of water waves
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