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Invisibility and inverse problems (Q5503665)

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scientific article; zbMATH DE number 5493255

Language	Label	Description	Also known as
English	Invisibility and inverse problems	scientific article; zbMATH DE number 5493255

Statements

scholarly article

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Invisibility and inverse problems (English)

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Allan Greenleaf

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Gunther Uhlmann

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Yaroslav Kurylev

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Bulletin of the American Mathematical Society

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publication date

16 January 2009

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full work available at URL

https://arxiv.org/abs/0810.0263

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zbMATH Keywords

cloaking devices

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Maxwell equations

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optics

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MaRDI profile type

MaRDI publication profile

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On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation

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Homogenization and Two-Scale Convergence

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Calderón's inverse conductivity problem in the plane

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Calderóns' Inverse Problem for Anisotropic Conductivity in the Plane

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Neutral inhomogeneities in conduction phenomena

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Electrical impedance tomography

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Uniqueness in the inverse conductivity problem for conductivities with \(3/2\) derivatives in \(L^p\), \(p>2n\)

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Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions

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Recovering a potential from Cauchy data in the two-dimensional case

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A Problem in Electrical Prospection and a n-Dimensional Borg-Levinson Theorem

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Electrical Impedance Tomography

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Variational methods for structural optimization

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An introduction to \(\Gamma\)-convergence

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Determining a magnetic Schrödinger operator from partial Cauchy data

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Full-wave invisibility of active devices at all frequencies

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Electromagnetic wormholes via handlebody constructions

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Approximate quantum and acoustic cloaking

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The Calderón problem for conormal potentials I: Global uniqueness and reconstruction

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On nonuniqueness for Calderón's inverse problem

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Inverse problems for Einstein manifolds

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On the explicit reconstruction of a Riemann surface from its Dirichlet-Neumann operator

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The Calderón problem with partial data

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Sobolev spaces with zero boundary values on metric spaces

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Erratum: Cloaking via change of variables for the Helmholtz equation

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Cloaking via change of variables in electric impedance tomography

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The Inverse Conductivity Problem with an Imperfectly Known Boundary

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Multi-dimensional inverse boundary problems by BC-method: Groups of transformations and uniqueness results

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Maxwell's equations with a polarization independent wave velocity: direct and inverse problems

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On determining a Riemannian manifold from the Dirichlet-to-Neumann map

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The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary

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Determining anisotropic real-analytic conductivities by boundary measurements

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Optical Conformal Mapping

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Generalized soft-and-hard surface

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On the cloaking effects associated with anomalous localized resonance

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Reconstructions from boundary measurements

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Global uniqueness for a two-dimensional inverse boundary value problem

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Multidimensional Inverse Scattering for First-Order Systems

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An \(n\)-dimensional Borg-Levinson theorem

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Multidimensional inverse spectral problem for the equation \(-\Delta \psi -(v(x)-Eu(x))\psi =0\)

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Acoustic cloaking theory

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A novel design of dielectric perfect invisibility devices

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An inverse boundary value problem in electrodynamics

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Complex geometrical optics solutions for Lipschitz conductivities.

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Controlling Electromagnetic Fields

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Anisotropic inverse problems in two dimensions

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An anisotropic inverse boundary value problem

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A uniqueness theorem for an inverse boundary value problem in electrical prospection

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A global uniqueness theorem for an inverse boundary value problem

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Complex Spherical Waves for the Elasticity System and Probing of Inclusions

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Low-energy inverse problems in three-body scattering

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Refraction and geometry in Maxwell's equations

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A rigorous analysis of high-order electromagnetic invisibility cloaks

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The boundary conditions for point transformed electromagnetic invisibility cloaks

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Identifiers

zbMATH Open document ID

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10.1090/S0273-0979-08-01232-9

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5503665

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