Asymptotics of negative eigenvalues of the Dirichlet problem with the density changing sign

DOI10.1007/s10958-009-9663-0zbMath1180.35398OpenAlexW1986826475MaRDI QIDQ844563

Sergueï A. Nazarov

Publication date: 19 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9663-0

zbMATH Keywords

Dirichlet problemasymptotic expansionsnegative eigenvalues

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (4)

Parasitic eigenvalues of spectral problems for the Laplacian with third-type boundary conditions ⋮ Spectrum of a diffusion operator with coefficient changing sign over a small inclusion ⋮ Homogenization of Steklov spectral problems with indefinite density function in perforated domains ⋮ Homogenization of the spectral problem for periodic elliptic operators with sign-changing density function

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Vishik-Lyusternik method for elliptic boundary-value problems in regions with conical points. I: The problem in a cone
• The Vishik-Lyusternik method for elliptic boundary-value problems in regions with conical points. II: The problem in a bounded region
• Elliptic problems in domains with piecewise smooth boundaries
• Asymptotics of Neumann problem eigenvalues in a ``dense comb type domain
• Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii
• Perturbation theory for linear operators.
• Spectral stiff problems in domains surrounded by thin bands: asymptotic and uniform estimates for eigenvalues
• JUSTIFICATION OF ASYMPTOTIC EXPANSIONS OF THE EIGENVALUES OF NONSELFADJOINT SINGULARLY PERTURBED ELLIPTIC BOUNDARY VALUE PROBLEMS
• Localization effects for eigenfunctions near to the edge of a thin domain
• Eigen-oscillations of contrasting non-homogeneous elastic bodies: asymptotic and uniform estimates for eigenvalues
• Regular degeneration and boundary layer for linear differential equations with small parameter

This page was built for publication: Asymptotics of negative eigenvalues of the Dirichlet problem with the density changing sign