Scattering frequencies for a perturbed system of elastic wave equations

DOI10.1006/jmaa.1997.5802zbMath0911.35083OpenAlexW1996128372MaRDI QIDQ1270944

K. Appert

Publication date: 29 November 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5802

zbMATH Keywords

number of resonances

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave scattering in solid mechanics (74J20) Scattering theory for PDEs (35P25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (2)

Resonant frequencies for a system of time-harmonic elastic wave ⋮ Resonances of an elastic resonator

Cites Work

• Lower bounds for resonance widths in potential and obstacle scattering
• A pole-free strip for potential scattering
• On Huygens' principle and perturbed elastic waves
• Existence of resonances in three dimensions
• An introduction to continuum mechanics
• Meromorphic families of compact operators
• On the scattering frequencies of time-dependent potentials
• Almost global existence of elastic waves of finite amplitude arising from small initial disturbances
• Decaying modes for the wave equation in the exterior of an obstacle
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