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Пример множественности лакун в спектре периодического волновода

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What this work says

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

inferredcites →https://doi.org/10.1002/cpa.3160170104openalex-snapshot
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
inferredcites →https://doi.org/10.1006/jdeq.1996.3204openalex-snapshot
Spectral Theory of Laplace–Beltrami Operators with Periodic Metrics
inferredcites →https://doi.org/10.1007/978-0-387-85650-6_12openalex-snapshot
Properties of Spectra of Boundary Value Problems in Cylindrical and Quasicylindrical Domains
inferredcites →https://doi.org/10.1007/978-1-4757-4317-3openalex-snapshot
The Boundary Value Problems of Mathematical Physics
inferredcites →https://doi.org/10.1007/978-3-0348-8573-7openalex-snapshot
Floquet Theory for Partial Differential Equations
inferredcites →https://doi.org/10.1007/978-3-662-12678-3openalex-snapshot
Perturbation theory for linear operators
inferredcites →https://doi.org/10.1007/bf02433440openalex-snapshot
Self-adjoint elliptic boundary-value problems. The polynomial property and formally positive operators
inferredcites →https://doi.org/10.1007/s00220-003-0904-7openalex-snapshot
Gaps in the Spectrum of the Maxwell Operator with Periodic Coefficients
inferredcites →https://doi.org/10.1007/s10688-009-0005-2openalex-snapshot
The essential spectrum of boundary value problems for systems of differential equations in a bounded domain with a cusp
inferredcites →https://doi.org/10.1007/s10688-009-0031-0openalex-snapshot
Gap in the essential spectrum of the Neumann problem for an elliptic system in a periodic domain
inferredcites →https://doi.org/10.1016/j.crme.2008.07.002openalex-snapshot
A gap in the continuous spectrum of an elastic waveguide
inferredcites →https://doi.org/10.1016/j.matpur.2005.10.013openalex-snapshot
Spectral stiff problems in domains surrounded by thin bands: Asymptotic and uniform estimates for eigenvalues
inferredcites →https://doi.org/10.1023/a:1022364812273openalex-snapshot
Uniform Estimates of Remainders in Asymptotic Expansions of Solutions to the Problem on Eigenoscillations of a Piezoelectric Plate
inferredcites →https://doi.org/10.1070/im1982v018n01abeh001384openalex-snapshot
ELLIPTIC BOUNDARY VALUE PROBLEMS WITH PERIODIC COEFFICIENTS IN A CYLINDER
inferredcites →https://doi.org/10.1070/im1985v024n02abeh001237openalex-snapshot
ASYMPTOTIC EXPANSIONS OF THE EIGENVALUES OF BOUNDARY VALUE PROBLEMS FOR THE LAPLACE OPERATOR IN DOMAINS WITH SMALL HOLES
inferredcites →https://doi.org/10.1070/rm1982v037n04abeh003965openalex-snapshot
Floquet theory for partial differential equations
inferredcites →https://doi.org/10.1070/rm1999v054n05abeh000204openalex-snapshot
The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes
inferredcites →https://doi.org/10.1070/rm2008v063n01abeh004501openalex-snapshot
Korn inequalities for elastic junctions of massive bodies, thin plates, and rods
inferredcites →https://doi.org/10.1070/sm1985v050n02abeh002837openalex-snapshot
ON THE SINGULARITIES OF SOLUTIONS OF THE DIRICHLET PROBLEM IN THE EXTERIOR OF A SLENDER CONE
inferredcites →https://doi.org/10.1080/03605300008821555openalex-snapshot
Spectral properties of periodic media in the large coupling limit
inferredcites →https://doi.org/10.1081/pde-120002790openalex-snapshot
ON THE DENSITY OF STATES OF PERIODIC MEDIA IN THE LARGE COUPLING LIMIT
inferredcites →https://doi.org/10.1090/s1061-0022-05-00878-2openalex-snapshot
On spectrum gaps of some divergent elliptic operators with periodic coefficients
inferredcites →https://doi.org/10.1090/s1061-0022-10-01095-2openalex-snapshot
Gap opening in the essential spectrum of the elasticity theory problem in a periodic half-layer
inferredcites →https://doi.org/10.1090/trans2/199/04openalex-snapshot
Spectral problems in singularly perturbed domains and selfadjoint extensions of differential operators
inferredcites →https://doi.org/10.1093/imamat/hxh039openalex-snapshot
Eigen-oscillations of contrasting non-homogeneous elastic bodies: asymptotic and uniform estimates for eigenvalues
inferredcites →https://doi.org/10.1134/s0965542509020122openalex-snapshot
Gap detection in the spectrum of an elastic periodic waveguide with a free surface
inferredcites →https://doi.org/10.1134/s1028335808110116openalex-snapshot
Rayleigh waves in an elastic half-layer with partly jammed periodic boundary
inferredcites →https://doi.org/10.1134/s1061920808020076openalex-snapshot
On the spectrum of narrow periodic waveguides
inferredcites →https://doi.org/10.1137/1.9780898717594.ch7openalex-snapshot
7. The Mathematics of Photonic Crystals
inferredcites →https://doi.org/10.1137/s0036139994263859openalex-snapshot
Band-Gap Structure of Spectra of Periodic Dielectric and Acoustic Media. I. Scalar Model
inferredcites →https://doi.org/10.1137/s0036139995285236openalex-snapshot
Band-Gap Structure of Spectra of Periodic Dielectric and Acoustic Media. II. Two-Dimensional Photonic Crystals
inferredcites →https://doi.org/10.4213/faa2934openalex-snapshot
О существенном спектре краевых задач для систем дифференциальных уравнений в ограниченной области с пиком
inferredcites →https://doi.org/10.4213/faa2966openalex-snapshot
Лакуна в существенном спектре задачи Неймана для эллиптической системы на периодической области
inferredcites →https://doi.org/10.4213/mzm8719openalex-snapshot
Открытие лакуны в непрерывном спектре периодически возмущенного волновода
inferredcites →https://doi.org/10.4213/rm204openalex-snapshot
Полиномиальное свойство самосопряженных эллиптических краевых задач и алгебраическое описание их атрибутов
inferredcites →https://doi.org/10.4213/rm8545openalex-snapshot
Неравенства Корна для упругих сочленений массивных тел, тонких пластин и стержней

What points at this work

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

inferred← citeshttps://doi.org/10.1007/s10958-015-2312-xopenalex-snapshot
Gap Opening Around a Given Point of the Spectrum of a Cylindrical Waveguide by Means of a Gentle Periodic Perturbation of Walls
inferred← citeshttps://doi.org/10.1016/j.crme.2015.12.004openalex-snapshot
Elastic and piezoelectric waveguides may have infinite number of gaps in their spectra
inferred← citeshttps://doi.org/10.1080/00036811.2012.711819openalex-snapshot
A gap in the spectrum of the Neumann–Laplacian on a periodic waveguide
inferred← citeshttps://doi.org/10.1090/s1061-0022-2012-01228-8openalex-snapshot
On the spectrum of the Laplace operator on the infinite Dirichlet ladder
inferred← citeshttps://doi.org/10.1134/s0001434613050039openalex-snapshot
Gap opening and split band edges in waveguides coupled by a periodic system of small windows
inferred← citeshttps://doi.org/10.1134/s1061920815020028openalex-snapshot
On the band spectrum of a Schrödinger operator in a periodic system of domains coupled by small windows
inferred← citeshttps://doi.org/10.3103/s1063454113020039openalex-snapshot
Spectral gaps in the Dirichlet problem for the biharmonic operator on a plane periodically perforated by circular holes
inferred← citeshttps://doi.org/10.3233/asy-171422openalex-snapshot
Trapped modes in thin and infinite ladder like domains. Part 1: Existence results
inferred← citeshttps://doi.org/10.3233/asy-221776openalex-snapshot
Spectral gaps in a double-periodic perforated Neumann waveguide
inferred← citeshttps://doi.org/10.4213/mzm9284openalex-snapshot
Открытие лакун и расщепление краев зон для волноводов, соединенных периодической системой малых окон
inferred← citeshttps://doi.org/10.70675/985b2048z61a4z46f7z9010z02e71cbd2e23openalex-snapshot
Open periodic waveguides : Theory and computation
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