Stable determination of an anisotropic inclusion in the Schrödinger equation from local Cauchy data
From MaRDI portal
Publication:2697384
DOI10.3934/ipi.2022063OpenAlexW4312446490MaRDI QIDQ2697384
Publication date: 18 April 2023
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.07598
stabilityinverse conductivity problemCauchy datageneralized Schrödinger equationinclusionmisfit functional
Boundary value problems for second-order elliptic equations (35J25) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Angles between infinite dimensional subspaces with applications to the Rayleigh-Ritz and alternating projectors methods
- Elliptic partial differential equations of second order
- Perturbation theory for linear operators.
- Singular solutions of elliptic equations and the determination of conductivity by boundary measurements
- Stability estimates in the inverse transmission scattering problem
- Propagation of smallness for an elliptic PDE with piecewise Lipschitz coefficients
- Linear and quasilinear elliptic equations
- Lipschitz stability for the inverse conductivity problem
- New Stability Estimates for the Inverse Acoustic Inhomogeneous Medium Problem and Applications
- Stable Determination of an Inclusion in an Elastic Body by Boundary Measurements
- Stable determination of an inclusion in an inhomogeneous elastic body by boundary measurements
- Stable Determination of a Rigid Scatterer in Elastodynamics
- Stable Determination of Polyhedral Interfaces from Boundary Data for the Helmholtz Equation
- The stability for the Cauchy problem for elliptic equations
- Diffraction d'une Onde Acoustique par une Paroi Absorbante: Nouvelles Equations Intégrales
- On uniqueness of recovery of a discontinuous conductivity coefficient
- Optical tomography in medical imaging
- Examples of exponential instability for inverse inclusion and scattering problems
- Stable determination of an inclusion in a layered medium
- Lipschitz stability for a piecewise linear Schrödinger potential from local Cauchy data
- Lipschitz Stable Determination of Polygonal Conductivity Inclusions in a Two-Dimensional Layered Medium from the Dirichlet-to-Neumann Map
- Stability for the Calderón’s problem for a class of anisotropic conductivities via an ad hoc misfit functional
- Lipschitz Stable Determination of Polyhedral Conductivity Inclusions from Local Boundary Measurements
- Global Lipschitz stability estimates for polygonal conductivity inclusions from boundary measurements
- Inverse problem for the Helmholtz equation with Cauchy data: reconstruction with conditional well-posedness driven iterative regularization
- Stable determination of an inclusion for a class of anisotropic conductivities
- Cracks with impedance; stable determination from boundary data
- Stable Determination of an Inclusion by Boundary Measurements
This page was built for publication: Stable determination of an anisotropic inclusion in the Schrödinger equation from local Cauchy data