Spectral gaps for periodic piezoelectric waveguides
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Publication:903221
DOI10.1007/S00033-015-0561-7zbMath1333.35275OpenAlexW2205394440MaRDI QIDQ903221
Jari Taskinen, Sergueï A. Nazarov
Publication date: 5 January 2016
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-015-0561-7
Electromagnetic effects in solid mechanics (74F15) PDEs in connection with mechanics of deformable solids (35Q74) Close-to-elliptic equations (35H99)
Related Items (4)
The band-gap structure of the spectrum in a periodic medium of masonry type ⋮ Bands in the spectrum of a periodic elastic waveguide ⋮ Pathology of essential spectra of elliptic problems in periodic family of beads threaded by a spoke thinning at infinity ⋮ Finite-dimensional approximations to the Poincaré–Steklov operator for general elliptic boundary value problems in domains with cylindrical and periodic exits to infinity
Cites Work
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- Gap opening and split band edges in waveguides coupled by a periodic system of small windows
- Opening of a gap in the continuous spectrum of a periodically perturbed waveguide
- Gap in a continuous spectrum of an elastic waveguide with a partly clamped surface
- Elliptic problems in domains with piecewise smooth boundaries
- Fracture mechanics for piezoelectric ceramics
- A gap in the essential spectrum of a cylindrical waveguide with a periodic aperturbation of the surface
- Quantum waveguides with small periodic perturbations: gaps and edges of Brillouin zones
- A gap in the spectrum of the Neumann–Laplacian on a periodic waveguide
- Spectral gaps for the linear surface wave model in periodic channels
- Asymptotic Analysis, Polarization Matrices, and Topological Derivatives for Piezoelectric Materials with Small Voids
- On the location of spectral edges in \mathbb {Z}-periodic media
- On the spectrum of a waveguide with periodic cracks
- Gaps in the essential spectrum of periodic elastic waveguides
- An example of multiple gaps in the spectrum of a periodic waveguide
- On occurrence of spectral edges for periodic operators inside the Brillouin zone
- Properties of Spectra of Boundary Value Problems in Cylindrical and Quasicylindrical Domains
- Boundary-value problems for the system of elasticity theory in unbounded domains. Korn's inequalities
- Essential spectrum of a periodic elastic waveguide may contain arbitrarily many gaps
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
- Floquet theory for partial differential equations
- Floquet theory for partial differential equations
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