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On the spectrum of an elastic solid with cusps

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Publication:1683486
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zbMath1375.35543MaRDI QIDQ1683486

Peng Zhang

Publication date: 1 December 2017

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ade/1465912586



Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) PDEs in connection with mechanics of deformable solids (35Q74) Qualitative behavior of solutions of equilibrium problems in solid mechanics (74G55) Boundary value problems for second-order elliptic systems (35J57)


Related Items (5)

Waves and radiation conditions in a cuspidal sharpening of elastic bodies ⋮ Abnormal behavior of eigenvalues of mixed boundary value problems for the Laplace operator in truncated, but long cylinders ⋮ Strange behavior of natural oscillations of an elastic body with a blunted peak ⋮ ‘Blinking’ and ‘gliding’ eigenfrequencies of oscillations of elastic bodies with blunted cuspidal sharpenings ⋮ Almost complete transmission of low frequency waves in a locally damaged elastic waveguide




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