The interior transmission eigenvalue problem for elastic waves in media with obstacles
From MaRDI portal
Publication:2037221
DOI10.3934/ipi.2020075zbMath1467.35225OpenAlexW3107902907MaRDI QIDQ2037221
Pu-Zhao Kow, Fioralba Cakoni, Jenn-Nan Wang
Publication date: 30 June 2021
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/ipi.2020075
General topics in linear spectral theory for PDEs (35P05) Inverse problems for PDEs (35R30) Eigenvalue problems for linear operators (47A75) Inverse problems for waves in solid mechanics (74J25) (Semi-) Fredholm operators; index theories (47A53) Boundary value problems for second-order elliptic systems (35J57)
Related Items
Effective Medium Theory for Embedded Obstacles in Elasticity with Applications to Inverse Problems ⋮ The interior transmission eigenvalue problem for an anisotropic medium by a partially coated boundary ⋮ Far field broadband approximate cloaking for the Helmholtz equation with a Drude-Lorentz refractive index
Cites Work
- Quantitative strong unique continuation for the Lamé system with less regular coefficients
- On the use of \(T\)-coercivity to study the interior transmission eigenvalue problem
- Transmission eigenvalues for inhomogeneous media containing obstacles
- On the existence and uniqueness of a solution to the interior transmission problem for piecewise-homogeneous solids
- Corners always scatter
- On the determination of Dirichlet or transmission eigenvalues from far field data
- On the interior transmission problem in nondissipative, inhomogeneous, anisotropic elasticity
- Acoustic scattering from corners, edges and circular cones
- Strong unique continuation for the Lamé system with Lipschitz coefficients
- On generalized Holmgren's principle to the Lamé operator with applications to inverse elastic problems
- On the spectrum of the interior transmission problem in isotropic elasticity
- Nature of the transmission eigenvalue spectrum for elastic bodies
- Computing estimates of material properties from transmission eigenvalues
- The Existence of an Infinite Discrete Set of Transmission Eigenvalues
- Shape Identification in Inverse Medium Scattering Problems with a Single Far-Field Pattern
- On recovering obstacles inside inhomogeneities
- The linear sampling method for the transmission problem in three-dimensional linear elasticity
- Unique Continuation for the Elasticity System and a Counterexample for Second-Order Elliptic Systems
- On isotropic cloaking and interior transmission eigenvalue problems
- Electromagnetic interior transmission eigenvalue problem for inhomogeneous media containing obstacles and its applications to near cloaking
- On the existence of transmission eigenvalues in an inhomogeneous medium
- The inside–outside duality for scattering problems by inhomogeneous media
- Transmission eigenvalues and non-destructive testing of anisotropic magnetic materials with voids