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 …
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 …
On instability mechanisms for inverse problems
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 …
problems. All of these are based on strong compression properties (in the sense of singular …
Quantitative Runge approximation and inverse problems
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 …
property for second-order elliptic operators. This relies on quantitative unique continuation …
Lipschitz stable determination of polyhedral conductivity inclusions from local boundary measurements
We consider the problem of determining a polyhedral conductivity inclusion embedded in a
homogeneous isotropic medium from boundary measurements. We prove global Lipschitz …
homogeneous isotropic medium from boundary measurements. We prove global Lipschitz …
Uniqueness for the electrostatic inverse boundary value problem with piecewise constant anisotropic conductivities
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 …
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
We investigate a linearized Calderón problem in a two-dimensional bounded simply
connected domain. After extending the linearized problem for perturbations, we orthogonally …
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 …
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
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 …
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
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 …
Neumann map with respect to movements of a polygonal conductivity inclusion,[Beretta, et …