Stability estimates for recovering the potential by the impedance boundary map

DOI10.1090/S1061-0022-2013-01278-7zbMath1285.35006MaRDI QIDQ5400860

Mikhail Isaev, Roman G. Novikov

Publication date: 12 March 2014

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

inverse boundary value problemsstability estimateimpedance boundary map

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Schrödinger operator, Schrödinger equation (35J10)

Related Items

Runge approximation and stability improvement for a partial data Calderón problem for the acoustic Helmholtz equation

Cites Work

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• Global uniqueness and reconstruction for the multi-channel Gel'fand-Calderón inverse problem in two dimensions
• A global uniqueness theorem for an inverse boundary value problem
• Multidimensional inverse spectral problem for the equation \(-\Delta \psi -(v(x)-Eu(x))\psi =0\)
• Global stability for the multi-channel Gelfand-Calderón inverse problem in two dimensions
• Global uniqueness for a two-dimensional inverse boundary value problem
• A remark on a paper by Alessandrini and Vessella
• Lipschitz stability for the inverse conductivity problem
• Exponential instability in an inverse problem for the Schrödinger equation
• New Global Stability Estimates for Monochromatic Inverse Acoustic Scattering
• A global stability estimate for the Gel'fand–Calderón inverse problem in two dimensions
• New global stability estimates for the Gel'fand–Calderon inverse problem
• On the Robin Boundary Condition for Laplace's Equation in Lipschitz Domains
• Some harmonic Robin functions in the complex plane
• On stable determination of potential by boundary measurements
• Robin-to-Robin Maps and Krein-Type Resolvent Formulas for Schrödinger Operators on Bounded Lipschitz Domains
• Determining conductivity by boundary measurements II. Interior results
• The $ \bar\partial$-equation in the multidimensional inverse scattering problem
• Generalized limiting absorption method and multidimensional inverse scattering theory
• Formulae and equations for finding scattering data from the Dirichlet-to-Neumann map with nonzero background potential
• Stable determination of conductivity by boundary measurements
• Method With Nonzero Background Potential. Application to Inverse Scattering for the
• Recovering a potential from Cauchy data in the two-dimensional case
• Exponential instability in the Gel'fand inverse problem on the energy intervals