Calderón's problem for some classes of conductivities in circularly symmetric domains

2019/03/18 by Dung, Mai Thi Kim, Tuan, Dang Anh
#35J15 #35J25 #35R30 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1903.07286

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.

Related

• Partial Data for the Calderon Problem in Two Dimensions
• Calderon's inverse problem for anisotropic conductivity in the plane
• Lecture on Calderón problem
• Reconstruction for the Calderón problem with Lipschitz conductivities
• Integral stability of Calderón inverse conductivity problem in the plane