Stability estimates for partial data inverse problems for Schrödinger operators in the high frequency limit

DOI10.1016/j.matpur.2019.02.017zbMath1428.35682arXiv1712.06200OpenAlexW2963160132MaRDI QIDQ2416990

Gunther Uhlmann, Katya Krupchyk

Publication date: 27 May 2019

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.06200

zbMATH Keywords

Carleman estimatesstability estimateshigh frequency limitpartial data inverse problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30)

Related Items (9)

Stability estimates for an inverse problem for Schrödinger operators at high frequencies from arbitrary partial boundary measurements ⋮ Stability estimates in a partial data inverse boundary value problem for biharmonic operators at high frequencies ⋮ High‐frequency stability estimates for a partial data inverse problem ⋮ Refined instability estimates for some inverse problems ⋮ SEMILINEAR CALDERÓN PROBLEM ON STEIN MANIFOLDS WITH KÄHLER METRIC ⋮ Stable recovery of a non-compactly supported coefficient of a Schrödinger equation on an infinite waveguide ⋮ Inverse problems for fractional semilinear elliptic equations ⋮ Runge approximation and stability improvement for a partial data Calderón problem for the acoustic Helmholtz equation ⋮ Optimality of Increasing Stability for an Inverse Boundary Value Problem

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