Electrical impedance tomography and Calderón's problem
G Uhlmann - Inverse problems, 2009 - iopscience.iop.org
We survey mathematical developments in the inverse method of electrical impedance
tomography which consists in determining the electrical properties of a medium by making …
tomography which consists in determining the electrical properties of a medium by making …
Inverse problems: seeing the unseen
G Uhlmann - Bulletin of Mathematical Sciences, 2014 - Springer
This survey article deals mainly with two inverse problems and the relation between them.
The first inverse problem we consider is whether one can determine the electrical …
The first inverse problem we consider is whether one can determine the electrical …
The Calderón problem in transversally anisotropic geometries
We consider the anisotropic Calderón problem of recovering a conductivity matrix or a
Riemannian metric from electrical boundary measurements in three and higher dimensions …
Riemannian metric from electrical boundary measurements in three and higher dimensions …
The Calderón problem with partial data on manifolds and applications
C Kenig, M Salo - Analysis & PDE, 2014 - msp.org
We consider Calderón's inverse problem with partial data in dimensions n≥ 3. If the
inaccessible part of the boundary satisfies a (conformal) flatness condition in one direction …
inaccessible part of the boundary satisfies a (conformal) flatness condition in one direction …
Recent progress in the Calderón problem with partial data
C Kenig, M Salo - Contemp. Math, 2014 - books.google.com
Recent progress in the Calderón problem with partial data Page 202 Contemporary
Mathematics Volume 615 , 2014 http://dx. doi. org/10.1090/conm/615/12245 Recent …
Mathematics Volume 615 , 2014 http://dx. doi. org/10.1090/conm/615/12245 Recent …
Monotonicity-based inversion of the fractional Schrödinger equation I. Positive potentials
We consider an inverse problem for the fractional Schrödinger equation by using
monotonicity formulas. We provide if-and-only-if monotonicity relations between positive …
monotonicity formulas. We provide if-and-only-if monotonicity relations between positive …
The attenuated ray transform on simple surfaces
THE ATTENUATED RAY TRANSFORM ON SIMPLE SURFACES Mikko Salo & Gunther
Uhlmann Abstract 1. Introduction The geodesic ray trans Page 1 j. differential geometry 88 (2011) …
Uhlmann Abstract 1. Introduction The geodesic ray trans Page 1 j. differential geometry 88 (2011) …
Momentum ray transforms and a partial data inverse problem for a polyharmonic operator
S Bhattacharyya, VP Krishnan, SK Sahoo - SIAM Journal on Mathematical …, 2023 - SIAM
We study an inverse problem involving the unique recovery of lower order anisotropic tensor
perturbations of a polyharmonic operator in a bounded domain from the knowledge of the …
perturbations of a polyharmonic operator in a bounded domain from the knowledge of the …
Unique determination of anisotropic perturbations of a polyharmonic operator from partial boundary data
S Bhattacharyya, VP Krishnan, SK Sahoo - arxiv preprint arxiv …, 2021 - arxiv.org
We study an inverse problem involving the unique recovery of several lower order
anisotropic tensor perturbations of a polyharmonic operator in a bounded domain from the …
anisotropic tensor perturbations of a polyharmonic operator in a bounded domain from the …
Ground States of Time-Harmonic Semilinear Maxwell Equations in with Vanishing Permittivity
J Mederski - Archive for Rational Mechanics and Analysis, 2015 - Springer
We investigate the existence of solutions E: R^ 3 → R^ 3 E: R 3→ R 3 of the time-harmonic
semilinear Maxwell equation ∇ * (∇ * E)+ V (x) E=\partial_E F (x, E)\rm in R^ 3∇×(∇× E)+ V …
semilinear Maxwell equation ∇ * (∇ * E)+ V (x) E=\partial_E F (x, E)\rm in R^ 3∇×(∇× E)+ V …