On instability mechanisms for inverse problems (Q5024073)

scientific article; zbMATH DE number 7465842

Language	Label	Description	Also known as
English	On instability mechanisms for inverse problems	scientific article; zbMATH DE number 7465842

Statements

instance of

0 references

0 references

0 references

0 references

28 January 2022

0 references

full work available at URL

https://arxiv.org/abs/2012.01855

0 references

zbMATH Keywords

Calderón problem

0 references

microlocal regularity

0 references

low regularity

0 references

instability in control theory

0 references

instability in inverse problems

0 references

entropy numbers

0 references

MaRDI profile type

MaRDI publication profile

0 references

title

On instability mechanisms for inverse problems (English)

0 references

cites work

Stable determination of conductivity by boundary measurements

0 references

Open issues of stability for the inverse conductivity problem

0 references

Single-logarithmic stability for the Calderón problem with local data

0 references

The stability for the Cauchy problem for elliptic equations

0 references

Lipschitz stability for the inverse conductivity problem

0 references

Boundary regularity for the Ricci equation, geometric convergence, and Gel'fand's inverse boundary problem

0 references

Stability estimates for the local Radon transform

0 references

Sharp stability estimate for the geodesic ray transform

0 references

On regularity of weak solutions to linear parabolic systems with measurable coefficients

0 references

Eigenvalue asymptotics for weighted Laplace equations on rough Riemannian manifolds with boundary

0 references

Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary

0 references

Existence of $\mathcal H$-matrix approximants to the inverse FE-matrix of elliptic operators with $L^\infty$-coefficients

0 references

Stability estimates for the anisotropic wave equation from the Dirichlet-to-Neumann map

0 references

Inverse Boundary Value Problem For The Helmholtz Equation: Quantitative Conditional Lipschitz Stability Estimates

0 references

Q4720334

0 references

Q5664306

0 references

ESTIMATES OF SINGULAR NUMBERS OF INTEGRAL OPERATORS

0 references

Q4157216

0 references

Optimal Approximation with Sparsely Connected Deep Neural Networks

0 references

Stability estimates for the Calderón problem with partial data

0 references

Stability of the Calderón problem in admissible geometries

0 references

Fourier integral operators of infinite order on Gevrey spaces. Applications to the Cauchy problem for certain hyperbolic operators

0 references

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

0 references

Examples of exponential instability for inverse inclusion and scattering problems

0 references

Entropy Numbers and Approximation Numbers in Function Spacess

0 references

Q4895893

0 references

Convergence rates for Tikhonov regularisation of non-linear ill-posed problems

0 references

Approximate Separability of the Green's Function of the Helmholtz Equation in the High Frequency Limit

0 references

The uncertainty principle

0 references

The cost of approximate controllability for heat equations: The linear case

0 references

Mathematical Foundations of Infinite-Dimensional Statistical Models

0 references

Uniqueness and reconstruction for the fractional Calderón problem with a single measurement

0 references

Q3791753

0 references

Uniqueness in Calderón's problem for conductivities with unbounded gradient

0 references

Unique Determination of a Magnetic Schrödinger Operator with Unbounded Magnetic Potential from Boundary Data

0 references

Regularization of exponentially ill-posed problems

0 references

On the microlocal analysis of the geodesic X-ray transform with conjugate points

0 references

Fourier integral operators. I

0 references

Q3671564

0 references

Increased stability in the continuation of solutions to the Helmholtz equation

0 references

Paradifferential calculus in Gevrey classes

0 references

Exponential instability in the Gel'fand inverse problem on the energy intervals

0 references

Instability in the Gel'fand inverse problem at high energies

0 references

Exponential instability in the inverse scattering problem on the energy interval

0 references

Q4692430

0 references

The inhomogeneous Dirichlet problem in Lipschitz domains

0 references

Continuous dependence on data for solutions of partial differential equations with a prescribed bound

0 references

Asymptotic behavior of the spectrum of pseudodifferential operators of variable order

0 references

Estimates of initial conditions of parabolic equations and inequalities via lateral Cauchy data

0 references

Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients

0 references

Carleman Estimates and Unique Continuation for Second Order Parabolic Equations with Nonsmooth Coefficients

0 references

Q5342672

0 references

Q4510108

0 references

Analytic control. I: A priori estimates

0 references

Stabilization and regularization for solutions of an ill posed problem for the wave equation

0 references

Estimates and reglarization for solutions of some ill-posed problems of elliptic and parabolic type

0 references

An inverse problem for the Helmholtz equation

0 references

Exponential instability in an inverse problem for the Schrödinger equation

0 references

Geometry of linear ill-posed problems in variable Hilbert scales

0 references

Q4953888

0 references

Q5334555

0 references

Stable Determination of a Simple Metric, a Covector Field and a Potential from the Hyperbolic Dirichlet-to-Neumann Map

0 references

The geodesic ray transform on Riemannian surfaces with conjugate points

0 references

Reconstructions from boundary measurements

0 references

The Mathematics of Computerized Tomography

0 references

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

0 references

The attenuated ray transform for connections and Higgs fields

0 references

Note on the cost of the approximate controllability for the heat equation with potential

0 references

Singularities of the X-Ray Transform and Limited Data Tomography in $\mathbb{R}^2 $ and $\mathbb{R}^3 $

0 references

Q5477315

0 references

Q4274290

0 references

A remark on a paper by Alessandrini and Vessella

0 references

Exponential instability in the fractional Calderón problem

0 references

epsilon -entropy and epsilon -capacity in the theory of ill-posed problems

0 references

Q4725211

0 references

Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I

0 references

Fourier Integrals in Classical Analysis

0 references

Stability estimates for the $X$-ray transform of tensor fields and boundary rigidity

0 references

Q5461875

0 references

Boundary rigidity and stability for generic simple metrics

0 references

Linearizing non-linear inverse problems and an application to inverse backscattering

0 references

The geodesic X-ray transform with fold caustics

0 references

Instability of the linearized problem in multiwave tomography of recovery both the source and the speed

0 references

The inverse problem for the Dirichlet-to-Neumann map on Lorentzian manifolds

0 references

Q5607484

0 references

A global uniqueness theorem for an inverse boundary value problem

0 references

Q3952526

0 references

Fourier integral operators in Gevrey class on ${\mathbb{R}}^ n$ and the fundamental solution for a hyperbolic operator

0 references

Unique continuation for operators with partially analytic coefficients

0 references

Q3900552

0 references

Partial differential equations. 3: Nonlinear equations

0 references

Q5840517

0 references

Q3900553

0 references

Q4357054

0 references

Inverse problems: seeing the unseen

0 references

Unique Continuation Properties and Quantitative Estimates of Unique Continuation for Parabolic Equations

0 references

Carleman estimates for parabolic equations and applications

0 references

Instability of an Inverse Problem for the Stationary Radiative Transport Near the Diffusion Limit

0 references

Q2897331

0 references

Identifiers

zbMATH Open document ID

1482.35002

0 references

DOI

10.15781/c93s-pk62

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5024073