The limiting absorption principle for the two-dimensional inhomogeneous anisotropic elasticity system

DOI10.1090/S0002-9947-04-03609-8zbMath1115.74022OpenAlexW1855272983MaRDI QIDQ5694976

Gen Nakamura, Jenn-Nan Wang

Publication date: 6 October 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-04-03609-8

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items

Unique continuation for the two-dimensional anisotropic elasticity system and its applications to inverse problems ⋮ Reconstruction of cracks in an inhomogeneous anisotropic medium using point sources

Cites Work

• Perturbation theory for linear operators.
• The unique continuation property of an elliptic system. The Lamé system
• Wave operators and asymptotic solutions of wave propagation problems of classical physics
• Steady-state wave propagation in homogeneous anisotropic media
• Außenraumaufgaben in der Theorie stationärer Schwingungen inhomogener elastischer Körper
• A Rellich uniqueness theorem for steady-state wave propagation in inhomogeneous anisotropic media
• The limiting absorption principle and spectral theory for steady-state wave propagation in inhomogeneous anisotropic media
• Uniform estimates of elementary solutions of first order systems of partial differential equations
• Unique continuation for systems with Lamé principal part
• The Cauchy problem for elastic waves in an anisotropic medium
• Unique continuation for the two-dimensional anisotropic elasticity system and its applications to inverse problems
• Decay at Infinity of Solutions to Partial Differential Equations with Constant Coefficients
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