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Single-logarithmic stability for the Calder\'on problem with local data
- Source :
- Journal of Inverse and Ill-posed Problems 20, 4 (2012) 389-400
- Publication Year :
- 2012
-
Abstract
- We prove an optimal stability estimate for Electrical Impedance Tomography with local data, in the case when the conductivity is precisely known on a neighborhood of the boundary. The main novelty here is that we provide a rather general method which enables to obtain the H\"older dependence of a global Dirichlet to Neumann map from a local one on a larger domain when, in the layer between the two boundaries, the coefficient is known.<br />Comment: 12 pages
- Subjects :
- Mathematics - Analysis of PDEs
35R30, 35R25
Subjects
Details
- Database :
- arXiv
- Journal :
- Journal of Inverse and Ill-posed Problems 20, 4 (2012) 389-400
- Publication Type :
- Report
- Accession number :
- edsarx.1202.5485
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1515/jip-2012-0014