Polarization tensor vanishing structure of general shape: Existence for small perturbations of balls
DOI10.3233/ASY-201651OpenAlexW3133626233MaRDI QIDQ5029336
Shigeru Sakaguchi, Hyeonbae Kang, Xiaofei Li
Publication date: 14 February 2022
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.07250
existenceimplicit function theorempolarization tensorinvisibility cloakingneutral inclusionweakly neutral inclusionperturbation of ballspolarization tensor vanishing structure
PDEs in connection with optics and electromagnetic theory (35Q60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)
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Cites Work
- Unnamed Item
- Spherical harmonics and approximations on the unit sphere. An introduction
- The implicit function theorem. History, theory, and applications
- Polarization and moment tensors. With applications to inverse problems and effective medium theory
- Reconstruction of small inhomogeneities from boundary measurements
- An over-determined boundary value problem arising from neutrally coated inclusions in three dimensions
- Small volume expansions for elliptic equations
- The Elastic Moduli of Heterogeneous Materials
- A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
- Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction
- A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction
- Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter
- The Theory of Composites
- Neutral coated inclusions in conductivity and anti–plane elasticity
- Construction of GPT-Vanishing Structures Using Shape Derivative
- Expansion Methods
- Coated inclusions of finite conductivity neutral to multiple fields in two-dimensional conductivity or anti-plane elasticity
- Existence of weakly neutral coated inclusions of general shape in two dimensions
- Reconstruction of Closely Spaced Small Inclusions
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