\(G\)-convergence, Dirichlet to Neumann maps and invisibility
From MaRDI portal
Publication:403330
DOI10.1016/j.jfa.2014.06.005zbMath1317.35040arXiv1311.5466OpenAlexW2963613674MaRDI QIDQ403330
Daniel Faraco, Yaroslav Kurylev, Alberto Ruiz
Publication date: 29 August 2014
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.5466
Boundary value problems for second-order elliptic equations (35J25) Second-order elliptic equations (35J15) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Inverse problems for integral equations (45Q05) Harmonic analysis and PDEs (42B37)
Related Items
Approximate isotropic cloak for the Maxwell equations ⋮ Invisibility Cloaking and Transformation Optics for Three Dimensional Manifolds and Applications in Cosmology ⋮ Characterization for stability in planar conductivities ⋮ Heat flow for Dirichlet-to-Neumann operator with critical growth ⋮ A multiscale theory for image registration and nonlinear inverse problems ⋮ Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities ⋮ Some non-linear systems of PDEs related to inverse problems in conductivity ⋮ Steady systems of PDEs. Two examples from applications ⋮ Stability for the Calderón’s problem for a class of anisotropic conductivities via an ad hoc misfit functional
Cites Work
- Unnamed Item
- A global uniqueness theorem for an inverse boundary value problem
- Stability of the Calderón problem for less regular conductivities
- Boundary regularity for the Ricci equation, geometric convergence, and Gel'fand's inverse boundary problem
- Full range scattering estimates and their application to cloaking
- Full-wave invisibility of active devices at all frequencies
- Stability of Calderón's inverse conductivity problem in the plane for discontinuous conductivities
- Reconstructions from boundary measurements
- An introduction to \(\Gamma\)-convergence
- Singular solutions of elliptic equations and the determination of conductivity by boundary measurements
- Global uniqueness for a two-dimensional inverse boundary value problem
- Approximate quantum and acoustic cloaking
- Enhanced near-cloak by FSH lining
- Uniqueness in Calderón's problem with Lipschitz conductivities
- Regularized transformation-optics cloaking for the Helmholtz equation: from partial cloak to full cloak
- Stability of Calderón inverse conductivity problem in the plane
- Determining the anisotropic traction state in a membrane by boundary measurements
- Calderón's inverse conductivity problem in the plane
- Recovering the conductivity at the boundary from the Dirichlet to Neumann map: a pointwise result
- Optical Conformal Mapping
- Controlling Electromagnetic Fields
- Cloaking via change of variables for the Helmholtz equation
- The Local Calderòn Problem and the Determination at the Boundary of the Conductivity
- Inverse boundary value problems at the boundary—continuous dependence
- Nucleation and mean curvature flow
- Calderóns' Inverse Problem for Anisotropic Conductivity in the Plane
- Stable determination of conductivity by boundary measurements
- THE SOBOLEV NORM OF CHARACTERISTIC FUNCTIONS WITH APPLICATIONS TO THE CALDERON INVERSE PROBLEM
- EIT and the average conductivity
- Stability of the inverse conductivity problem in the plane for less regular conductivities
