On Runge approximation and Lipschitz stability for a finite-dimensional Schrödinger inverse problem

DOI10.1080/00036811.2020.1738403zbMath1494.35193arXiv2002.09319OpenAlexW3011886506MaRDI QIDQ5090271

Angkana Rüland, Eva Sincich

Publication date: 18 July 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.09319

zbMATH Keywords

Schrödinger equationLipschitz stabilityRunge approximation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10)

Related Items (2)

Inverse problems on low-dimensional manifolds ⋮ Stability for the Calderón’s problem for a class of anisotropic conductivities via an ad hoc misfit functional

Cites Work

• Unnamed Item
• Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities
• Localized potentials in electrical impedance tomography
• Continuous domain dependence of the eigenvalues of the Dirichlet Laplacian and related operators in Hilbert space
• Singular solutions of elliptic equations and the determination of conductivity by boundary measurements
• Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem
• Monotonicity and local uniqueness for the Helmholtz equation
• Lipschitz stability for the finite dimensional fractional Calderón problem with finite Cauchy data
• Lipschitz stability for the inverse conductivity problem
• Recovering the conductivity at the boundary from the Dirichlet to Neumann map: a pointwise result
• Lipschitz Stability of an Inverse Boundary Value Problem for a Schrödinger-Type Equation
• Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves
• Lipschitz Stability for the Electrical Impedance Tomography Problem: The Complex Case
• Lipschitz stability for a stationary 2D inverse problem with unknown polygonal boundary
• Stable Determination of Polyhedral Interfaces from Boundary Data for the Helmholtz Equation
• The stability for the Cauchy problem for elliptic equations
• Inverse boundary value problems at the boundary—continuous dependence
• Diffraction d'une Onde Acoustique par une Paroi Absorbante: Nouvelles Equations Intégrales
• Uniqueness and Lipschitz stability in electrical impedance tomography with finitely many electrodes
• Lipschitz stability for a piecewise linear Schrödinger potential from local Cauchy data
• Lipschitz stability for the inverse conductivity problem for a conformal class of anisotropic conductivities
• Quantitative Runge Approximation and Inverse Problems
• CALDERÓN’S INVERSE PROBLEM WITH A FINITE NUMBER OF MEASUREMENTS
• Continuous dependence of eigenvalues on the domain
• Single-logarithmic stability for the Calderón problem with local data

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