On instability mechanisms for inverse problems

DOI10.15781/c93s-pk62zbMath1482.35002arXiv2012.01855OpenAlexW4206452629MaRDI QIDQ5024073

Mikko Salo, Angkana Rüland, Herbert Koch

Publication date: 28 January 2022

Full work available at URL: https://arxiv.org/abs/2012.01855

zbMATH Keywords

entropy numbersCalderón problemlow regularitymicrolocal regularityinstability in control theoryinstability in inverse problems

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Inverse problems for PDEs (35R30) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

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Uniqueness for the Fractional Calderón Problem with Quasilocal Perturbations ⋮ Inverse problems on low-dimensional manifolds ⋮ The Born approximation in the three-dimensional Calderón problem. II: Numerical reconstruction in the radial case ⋮ Stability estimates in inverse problems for the Schrödinger and wave equations with trapping ⋮ Stability Estimates for the Inverse Fractional Conductivity Problem ⋮ Stable determination of a second order perturbation of the polyharmonic operator by boundary measurements ⋮ On the scientific work of Victor Isakov ⋮ Refined instability estimates for some inverse problems ⋮ Counterexamples to uniqueness in the inverse fractional conductivity problem with partial data ⋮ The linearized Calderón problem for polyharmonic operators

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