Decoupling of Modes for the Elastic Wave Equation in Media of Limited Smoothness

DOI10.1080/03605302.2011.558554zbMath1230.35060arXiv1009.0933OpenAlexW2051191039MaRDI QIDQ3106542

Maarten V. de Hoop, Gunther Uhlmann, Hart F. Smith, Valeriy Brytik

Publication date: 28 December 2011

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.0933

zbMATH Keywords

smoothnessdiagonalizationelastic wavesmode decouplingtwice-differentiable Lamé parameters

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Linear waves in solid mechanics (74J05) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (5)

On the convergence of the time reversal method for thermoacoustic tomography in elastic media ⋮ Decoupling elastic waves and its applications ⋮ The transmission problem in linear isotropic elasticity ⋮ An Inverse Source Problem for the Elastic Wave in the Lower Half-Space ⋮ On the wave equation with multiplicities and space-dependent irregular coefficients

Cites Work

• On the propagation of polarization sets for systems of real principal type
• Reflection of singularities of solutions to systems of differential equations
• On the relation between singularities of coefficients and singularities of reflected waves in the Lamé system
• Microlocal analysis of seismic inverse scattering in anisotropic elastic media
• COMMUTATORS OF SINGULAR INTEGRAL OPERATORS

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