A criterion for the existence of the essential spectrum for beak-shaped elastic bodies
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Publication:1047705
DOI10.1016/j.matpur.2009.05.007zbMath1387.35570OpenAlexW2036849503MaRDI QIDQ1047705
Jari Taskinen, Giuseppe Cardone, Sergueï A. Nazarov
Publication date: 5 January 2010
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10138/29330
General topics in linear spectral theory for PDEs (35P05) Classical linear elasticity (74B05) General theory of partial differential operators (47F05) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (7)
RADIATION CONDITION FOR A NON-SMOOTH INTERFACE BETWEEN A DIELECTRIC AND A METAMATERIAL ⋮ Waves and radiation conditions in a cuspidal sharpening of elastic bodies ⋮ Trapped modes in piezoelectric and elastic waveguides ⋮ Korn inequality for a thin rod with rounded ends ⋮ Localization of eigenfunctions in the Dirichlet beaker ⋮ Embedded eigenvalues of the Neumann problem in a strip with a box-shaped perturbation ⋮ Notes to the proof of a weighted Korn inequality for an elastic body with peak-shaped cusps
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