Solving ill-posed inverse problems via the Born approximation

DOI10.1007/978-3-031-62265-6_10MaRDI QIDQ6645603

Cristóbal J. Meroño, Fabricio Macià

Publication date: 28 November 2024

zbMATH Keywords

Born approximationill-posed inverse problems

Mathematics Subject Classification ID

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Cites Work

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• The geometrical problem of electrical impedance tomography in the disk
• A global uniqueness theorem for an inverse boundary value problem
• The boundary control approach to the Titchmarsh-Weyl \(m\)-function. I: The response operator and the \(A\)-amplitude
• An \(n\)-dimensional Borg-Levinson theorem
• Zur Quantenmechanik der Stoßvorgänge. (Vorläufige Mitteilung.)
• Über gewöhnliche Differentialgleichungen mit Singularitäten und die zugehörigen Entwicklungen willkürlicher Funktionen.
• Über gewöhnliche lineare Differentialgleichungen mit singulären Stellen und ihre Eigenfunktionen (2. Note).
• A new approach to inverse spectral theory. II: General real potentials and the connection to the spectral measure
• A new approach to inverse spectral theory. I: Fundamental formalism
• The Born approximation in the three-dimensional Calderón problem
• On an inverse boundary value problem
• Stability in the inverse Steklov problem on warped product Riemannian manifolds
• Exponential instability in an inverse problem for the Schrödinger equation
• Exact Shape-Reconstruction by One-Step Linearization in Electrical Impedance Tomography
• Direct numerical reconstruction of conductivities in three dimensions using scattering transforms
• The boundary control approach to inverse spectral theory
• Determining conductivity by boundary measurements
• Inverse boundary value problems at the boundary—continuous dependence
• Discrete and Continuous Dirichlet-to-Neumann Maps in the Layered Case
• On instability mechanisms for inverse problems
• Inverse acoustic and electromagnetic scattering theory
• Electrical impedance tomography with deep Calderón method
• Exponential localization of Steklov eigenfunctions on warped product manifolds: the flea on the elephant phenomenon
• The Born approximation in the three-dimensional Calderón problem. II: Numerical reconstruction in the radial case

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