Optimality of Increasing Stability for an Inverse Boundary Value Problem
From MaRDI portal
Publication:5020854
DOI10.1137/21M1402169zbMath1483.35086arXiv2102.11532OpenAlexW3132751381MaRDI QIDQ5020854
Pu-Zhao Kow, Gunther Uhlmann, Jenn-Nan Wang
Publication date: 7 January 2022
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.11532
Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Second-order elliptic equations (35J15)
Related Items
The Calderón Problem for the Fractional Wave Equation: Uniqueness and Optimal Stability, Stability of inverse scattering problem for the damped biharmonic plate equation, Refined instability estimates for some inverse problems
Cites Work
- Unnamed Item
- Unnamed Item
- Increasing stability for the Schrödinger potential from the Dirichlet-to Neumann map
- On continuous dependence for an inverse initial boundary value problem for the wave equation
- Stability estimates for partial data inverse problems for Schrödinger operators in the high frequency limit
- Exponential instability in an inverse problem for the Schrödinger equation
- Increased stability in the continuation of solutions to the Helmholtz equation
- Increasing stability of the inverse boundary value problem for the Schr\"odinger equation
- Increasing stability of the continuation for the Maxwell system
- Examples of exponential instability for inverse inclusion and scattering problems
- The linear sampling method in inverse electromagnetic scattering theory
- Exponential instability in the fractional Calderón problem
- Stable determination of conductivity by boundary measurements
- Increasing stability in an inverse problem for the acoustic equation
- Reconstruction of an impenetrable obstacle in anisotropic inhomogeneous background
- Instability of an Inverse Problem for the Stationary Radiative Transport Near the Diffusion Limit
- Inverse Problems for the Stationary Transport Equation in the Diffusion Scaling
- Linearized Inverse Schrödinger Potential Problem at a Large Wavenumber
- Instability in the Gel'fand inverse problem at high energies
- Energy and regularity dependent stability estimates for the Gel'fand inverse problem in multidimensions
- On increased stability in the continuation of the Helmholtz equation
