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On eigenfunctions localized in a neighborhood of the lateral surface of a thin domain

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/mma.1670060111openalex-snapshot
Scattering Theory for Diffraction Gratings
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The Boundary Value Problems of Mathematical Physics
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Variational Principles in Continuum Mechanics
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Spectral Theory of Self-Adjoint Operators in Hilbert Space
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Asymptotic Methods for Ordinary Differential Equations
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Singularities of the gradient of the solution of the Neumann problem at the vertex of a cone
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The asymptotics of the solution to the Neumann spectral problem in a domain of the “dense-comb” type
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On asymptotically exact equations of thin plates of complex structure
inferredcites →https://doi.org/10.1016/0021-8928(89)90059-2openalex-snapshot
Edge effect in the bending of a thin three-dimensional plate
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Two-dimensional approximations of three-dimensional eigenvalue problems in plate theory
inferredcites →https://doi.org/10.1016/b978-0-12-585001-8.x5001-6openalex-snapshot
Methods of Modern Mathematical Physics
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Existence theorems for trapped modes
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Variational Methods in Mathematical Physics
inferredcites →https://doi.org/10.1070/rm1988v043n05abeh001945openalex-snapshot
Boundary-value problems for the system of elasticity theory in unbounded domains. Korn's inequalities
inferredcites →https://doi.org/10.1090/mmono/090/02openalex-snapshot
Variational methods in mathematical physics
inferredcites →https://doi.org/10.1090/trans2/020/06openalex-snapshot
Regular degeneration and boundary layer for linear differential equations with small parameter
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Variational principles in continuum mechanics
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Asymptotic Methods in Equations of Mathematical Physics
inferredcites →https://doi.org/10.1515/9783110848915openalex-snapshot
Elliptic Problems in Domains with Piecewise Smooth Boundaries

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Properties of Spectra of Boundary Value Problems in Cylindrical and Quasicylindrical Domains
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Spectrum of a diffusion operator with coefficient changing sign over a small inclusion
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A criterion for the existence of decaying solutions in the problem on a resonator with a cylindrical waveguide
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Asymptotics of negative eigenvalues of the Dirichlet problem with the density changing sign
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Asymptotics of the natural oscillations of a thin elastic gasket between absolutely rigid profiles
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Localization effects for Dirichlet problems in domains surrounded by thin stiff and heavy bands
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Asymptotic analysis of the high frequencies for the Laplace operator in a thin T-like shaped structure
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Estimating the convergence rate for eigenfrequencies of anisotropic plates with variable thickness
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The asymptotics of natural oscillations of a long two-dimensional Kirchhoff plate with variable cross-section
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Discrete spectrum of cranked, branching, and periodic waveguides
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Localization effect for Dirichlet eigenfunctions in thin non-smooth domains
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Electronic eigenstates in quantum rings: Asymptotics and numerics
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Rayleigh-Bénard convection: The container shape matters
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Localization of eigenfunctions in the Dirichlet beaker
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Two-Dimensional Asymptotic Models of Thin Cylindrical Elastic Gaskets
inferred← citeshttps://doi.org/10.1134/s003744661102011xopenalex-snapshot
Localization near the corner point of the principal eigenfunction of the Dirichlet problem in a domain with thin edging
inferred← citeshttps://doi.org/10.1134/s0037446613030166openalex-snapshot
The localization for eigenfunctions of the dirichlet problem in thin polyhedra near the vertices
inferred← citeshttps://doi.org/10.1134/s0037446625060102openalex-snapshot
Plurality of Asymptotic Series of Eigenvalues for the Third Boundary Value Problem with a Large Negative Robin Coefficient
inferred← citeshttps://doi.org/10.1134/s0037446626030079openalex-snapshot
Spectrum of Elastic Honeycombs with a Clamped Surface
inferred← citeshttps://doi.org/10.1134/s0965542508050102openalex-snapshot
Trapped modes in a cylindrical elastic waveguide with a damping gasket
inferred← citeshttps://doi.org/10.1134/s0965542515100164openalex-snapshot
Eigenmodes of a thin elastic layer between periodic rigid profiles
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Parasitic Eigenvalues of Spectral Problems for the Laplacian with Third-Type Boundary Conditions
inferred← citeshttps://doi.org/10.1134/s1061920821020035openalex-snapshot
Localization of Eigenfunctions in a Narrow Kirchhoff Plate
inferred← citeshttps://doi.org/10.1134/s1063771023600511openalex-snapshot
Natural Oscillations of an Elastic Half-Strip with a Different Arrangement of Fixation Areas of Its Edges
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Localization of Eigenfunctions of the Dirichlet Problem near a Contour at the Boundary of a Thin Domain
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The Localization Effect for Eigenfunctions of the Mixed Boundary Value Problem in a Thin Cylinder with Distorted Ends
inferred← citeshttps://doi.org/10.13108/2025-17-1-22openalex-snapshot
Different types of localization for eigenfunctions of scalar mixed boundary value problems in thin polyhedra
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Asymptotic behavior of eigenvalues of the Laplacian on a thin domain under the mixed boundary condition
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Localization effects for eigenfunctions near to the edge of a thin domain
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Homogenization of an indefinite spectral problem arising in population genetics
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Elastic Waves Trapped by a Semi-infinite Strip with Clamped Lateral Sides and a Curved or Broken End
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Elastic Waves Trapped by Semi-Infinite Strip with Clamped Lateral Sides and a Curved or Broken End
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Localization of natural oscillations of thin elastic gaskets
inferred← citeshttps://doi.org/10.31857/s0374064124120073openalex-snapshot
LOCALIZATION OF EIGENFUNCTIONS OF THE DIRICHLET PROBLEM NEAR A CONTOUR AT THE BOUNDARY OF A THIN DOMAIN
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Spectral stiff problems in domains surrounded by thin stiff and heavy bands: Local effects for eigenfunctions
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Спектр смешанной краевой задачи теории упругости в секторе слоя со скошенными боковыми гранями
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Spectrum of a mixed boundary-value elasticity problem in a sector of a layer with beveled lateral faces
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Асимптотика собственных колебаний длинной двумерной пластины Кирхгофа с переменным сечением
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Лакуны в спектре тонкостенного прямоугольного бесконечного короба Дирихле с периодическим семейством перегородок
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Spectral gaps in a thin-walled infinite rectangular Dirichlet box with a periodic family of cross walls
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