New global stability estimates for the Calderón problem in two dimensions

DOI10.1017/S147474801200076XzbMath1317.31008arXiv1110.0335MaRDI QIDQ2841761

Matteo Santacesaria

Publication date: 30 July 2013

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.0335

zbMATH Keywords

potentialDirichlet problemSchrödinger equationGelfand-Calderón inverse problemDirichlet-to-Neumann problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Second-order elliptic equations (35J15) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items

Stability for a magnetic Schrödinger operator on a Riemann surface with boundary ⋮ Instability in the Gel'fand inverse problem at high energies ⋮ Stability for determination of Riemannian metrics by spectral data and Dirichlet-to-Neumann map limited on arbitrary subboundary ⋮ Stability estimates for an inverse problem for the Schrödinger equation at negative energy in two dimensions ⋮ Stability and uniqueness for a two-dimensional inverse boundary value problem for less regular potentials

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