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 …

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 …

On instability mechanisms for inverse problems

H Koch, A Rüland, M Salo - arXiv preprint arXiv:2012.01855, 2020 - arxiv.org
In this article we present three robust instability mechanisms for linear and nonlinear inverse
problems. All of these are based on strong compression properties (in the sense of singular …

Quantitative Runge approximation and inverse problems

A Rüland, M Salo - International Mathematics Research Notices, 2019 - academic.oup.com
In this short note, we provide a quantitative version of the classical Runge approximation
property for second-order elliptic operators. This relies on quantitative unique continuation …

Lipschitz stable determination of polyhedral conductivity inclusions from local boundary measurements

A Aspri, E Beretta, E Francini, S Vessella - SIAM Journal on Mathematical …, 2022 - SIAM
We consider the problem of determining a polyhedral conductivity inclusion embedded in a
homogeneous isotropic medium from boundary measurements. We prove global Lipschitz …

Uniqueness for the electrostatic inverse boundary value problem with piecewise constant anisotropic conductivities

G Alessandrini, MV De Hoop, R Gaburro - Inverse problems, 2017 - iopscience.iop.org
We discuss the inverse problem of determining the, possibly anisotropic, conductivity of a
body $\Omega\subset\mathbb {R}^{n} $ when the so-called Neumann-to-Dirichlet map is …

Linearized Calderón Problem: Reconstruction and Lipschitz Stability for Infinite-Dimensional Spaces of Unbounded Perturbations

H Garde, N Hyvönen - SIAM Journal on Mathematical Analysis, 2024 - SIAM
We investigate a linearized Calderón problem in a two-dimensional bounded simply
connected domain. After extending the linearized problem for perturbations, we orthogonally …

Stability estimates for an inverse problem for Schrödinger operators at high frequencies from arbitrary partial boundary measurements

X Zhao, G Yuan - Inverse Problems, 2023 - iopscience.iop.org
Stability estimates for an inverse problem for Schrödinger operators at high frequencies from
arbitrary partial boundary measurements - IOPscience This site uses cookies. By continuing to …

[HTML][HTML] Stability estimates for the Radon transform with restricted data and applications

P Caro, DDS Ferreira, A Ruiz - Advances in Mathematics, 2014 - Elsevier
In this article, we prove a stability estimate going from the Radon transform of a function with
limited angle-distance data to the L p norm of the function itself, under some conditions on …

Lipschitz stable determination of polygonal conductivity inclusions in a two-dimensional layered medium from the Dirichlet-to-Neumann map

E Beretta, E Francini, S Vessella - SIAM Journal on Mathematical Analysis, 2021 - SIAM
Using a distributed representation formula of the Gateaux derivative of the Dirichlet-to-
Neumann map with respect to movements of a polygonal conductivity inclusion,[Beretta, et …