Acta Mathematica Vietnamica
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Calderón’s Problem for Some Classes of Conductivities in Circularly Symmetric Domains
Mai Thi Kim Dung , Dang Anh Tuanpp. 849-863
Abstract
In this note, we study Calderón’s problem for certain classes of conductivities in domains with circular symmetry in two and three dimensions. Explicit formulas are obtained for the reconstruction of the conductivity from the Dirichlet-to-Neumann map. As a consequence, we show that the reconstruction is Lipschitz stable.