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Inverse Boundary Spectral Problems
© 2001 by Chapman & Hall/CRC. Inverse boundary problems are a rapidly developing area of applied mathematics with applications throughout physics and the engineering sciences. However, theExpand
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On nonuniqueness for Calderón’s inverse problem
We construct anisotropic conductivities with the same Dirichlet-to-Neumann map as a homogeneous isotropic conductivity. These conductivities are singular close to a surface inside the body.
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The Calderón problem in transversally anisotropic geometries
We consider the anisotropic Calderon problem of recovering a conductivity matrix or a Riemannian metric from electrical boundary measurements in three and higher dimensions. In the earlier workExpand
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Anisotropic conductivities that cannot be detected by EIT.
We construct anisotropic conductivities in dimension 3 that give rise to the same voltage and current measurements at the boundary of a body as a homogeneous isotropic conductivity. TheseExpand
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Can one use total variation prior for edge-preserving Bayesian inversion?
Estimation of non-discrete physical quantities from indirect linear measurements is considered. Bayesian solution of such an inverse problem involves discretizing the problem and expressing availableExpand
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On determining a Riemannian manifold from the Dirichlet-to-Neumann map
Abstract We study the inverse problem of determining a Riemannian manifold from the boundary data of harmonic functions. This problem arises in electrical impedance tomography, where one tries toExpand
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Full-Wave Invisibility of Active Devices at All Frequencies
There has recently been considerable interest in the possibility, both theoretical and practical, of invisibility (or “cloaking”) from observation by electromagnetic (EM) waves. Here, we proveExpand
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On the existence and convergence of the solution of PML equations
In this article we study the mesh termination method in computational scattering theory known as the method of Perfectly Matched Layer (PML). Expand
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Analysis of the PML equations in general convex geometry
In this work, we study a mesh termination scheme in acoustic scattering, known as the perfectly matched layer (PML) method. The main result of the paper is the following. Assume that the scatterer isExpand
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Inverse Problems With Partial Data for a Magnetic Schrödinger Operator in an Infinite Slab and on a Bounded Domain
In this paper we study inverse boundary value problems with partial data for the magnetic Schrödinger operator. In the case of an infinite slab in $${\mathbb{R}^n}$$ , n ≥ 3, we establish that theExpand
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