Neumann resonances in linear elasticity for an arbitrary body

DOI10.1007/BF02099253zbMath0851.35032MaRDI QIDQ1918078

Plamen D. Stefanov, Georgi Vodev

Publication date: 18 November 1996

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

meromorphic continuation of the cut-off resolventresonances of the Lamé operator

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Second-order elliptic equations (35J15)

Related Items (21)

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Cites Work

• On the local-energy decay property for the elastic wave equation with the Neumann boundary condition
• Trapping obstacles with a sequence of poles on the scattering matrix converging to the real axis
• Distribution of resonances for the Neumann problem in linear elasticity outside a strictly convex body
• Rayleigh Quasimodes In Linear Elasticity
• ASYMPTOTICS OF THE EIGENVALUES OF THE LAPLACIAN AND QUASIMODES. A SERIES OF QUASIMODES CORRESPONDING TO A SYSTEM OF CAUSTICS CLOSE TO THE BOUNDARY OF THE DOMAIN
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• Unnamed Item
• Unnamed Item
• Unnamed Item
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