Properties of Spectra of Boundary Value Problems in Cylindrical and Quasicylindrical Domains
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Publication:3627660
DOI10.1007/978-0-387-85650-6_12zbMath1208.35093OpenAlexW2267283825MaRDI QIDQ3627660
Publication date: 13 May 2009
Published in: Sobolev Spaces in Mathematics II (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-0-387-85650-6_12
Related Items (49)
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Cites Work
- Spectral theory of Laplace-Beltrami operators with periodic metrics
- The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
- Elliptic problems in domains with piecewise smooth boundaries
- Gaps in the spectrum of the Maxwell operator with periodic coefficients
- Exponentially decreasing solutions of diffraction problems on a rigid periodic boundary
- The Wiener-Hopf method for systems of pseudodifferential equations with an application to crack problems.
- On a class of conservation laws in linearized and finite elastostatics
- Über das asymptotische Verhalten der Lösungen von \(\Delta u+\lambda u=0\) in unendlichen Gebieten
- Korn's Inequalities for Junctions of Spatial Bodies and Thin Rods
- On spectrum gaps of some divergent elliptic operators with periodic coefficients
- Trapped modes in a cylindrical elastic waveguide with a damping gasket
- Korn inequalities for elastic junctions of massive bodies, thin plates, and rods
- [Russian Text Ignored.]
- [Russian Text Ignored]
- Edge resonance in an elastic semi-strip
- Guided waves by electromagnetic gratings and non‐uniqueness examples for the diffraction problem
- Existence theorems for trapped modes
- Trapped modes in a waveguide with a long obstacle
- The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes
- Spectral properties of periodic media in the large coupling limit
- Crack Singularities for General Elliptic Systems
- ON THE DENSITY OF STATES OF PERIODIC MEDIA IN THE LARGE COUPLING LIMIT
- MATHEMATICAL ANALYSIS OF ELASTIC SURFACE WAVES IN TOPOGRAPHIC WAVEGUIDES
- Crack propagation in continuous media
- Band-Gap Structure of Spectra of Periodic Dielectric and Acoustic Media. I. Scalar Model
- Interpolation zwischen den Klassen 𝔖p von Operatoren in Hilberträumen
- Floquet theory for partial differential equations
- Floquet theory for partial differential equations
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