Decoupling elastic waves and its applications
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Publication:2013904
DOI10.1016/j.jde.2017.05.022zbMath1368.74029arXiv1509.03799OpenAlexW2963095237MaRDI QIDQ2013904
Publication date: 10 August 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.03799
elastic scatteringdecouplingLamé systemuniqueness and stabilityinverse elastic scatteringshear and pressure waves
Classical linear elasticity (74B05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Wave scattering in solid mechanics (74J20) Inverse problems for PDEs (35R30)
Related Items (12)
Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay ⋮ On local and global structures of transmission eigenfunctions and beyond ⋮ Multiple sign-changing solutions for a class of Schrödinger equations with saturable nonlinearity ⋮ A foliated and reversible Finsler manifold is determined by its broken scattering relation ⋮ Extended Sampling Method for Inverse Elastic Scattering Problems Using One Incident Wave ⋮ Two single-measurement uniqueness results for inverse scattering problems within polyhedral geometries ⋮ On generalized Holmgren's principle to the Lamé operator with applications to inverse elastic problems ⋮ The uniqueness of the inverse elastic wave scattering problem based on the mixed reciprocity relation ⋮ Stable Determination of a Rigid Scatterer in Elastodynamics ⋮ Further results on generalized Holmgren's principle to the Lamé operator and applications ⋮ The Decoupling of Elastic Waves from a Weak Formulation Perspective ⋮ On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications
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