Perturbation of invariant subspaces of the equations of elasticity: Spectral theory

DOI10.1016/0022-247X(87)90237-XzbMath0629.73016MaRDI QIDQ1094177

William V. Smith

Publication date: 1987

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

zbMATH Keywords

pressureinvariant subspacesshearcompact mappingsperturbation of operatorsstationary modes of propagation

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Bulk waves in solid mechanics (74J10) Spectrum, resolvent (47A10) Elastic materials (74B99)

Related Items (2)

Strongly propagative systems, generalized nonselfadjoint wave equations and their steady-state solutions ⋮ Average stability and decay properties of forced solutions of the wave propagation problems of classical physics in energy and mean norms

Cites Work

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• The limiting absorption principle and spectral theory for steady-state wave propagation in globally perturbed nonselfadjoint media
• Spectral measures. II: Characterization of scalar operators
• Spectral measures. III: Densely defined spectral measures
• Wave operators and similarity for some non-selfadjoint operators
• The limiting absorption principle and spectral theory for steady-state wave propagation in inhomogeneous anisotropic media
• Elastic waves in anisotropic media
• The Cauchy problem for elastic waves in an anisotropic medium
• Isomorphisms of hyperbolic systems and the aether

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