Integral stability of Calderón inverse conductivity problem in the plane

2008/07/25 by Albert Clop, Daniel Faraco, Clop, Albert +3
Computer Science · Mathematics · #30C62 #35J15 #35R30 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Complex Variables (math.CV) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems

paper · doi:10.48550/arxiv.0807.4148

openalex publication_date 2008/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is proved that, in two dimensions, the Calderón inverse conductivity problem in Lipschitz domains is stable in the L^p sense when the conductivities are uniformly bounded in any fractional Sobolev space W^α,p α>0, 1

Related

• Stability of the Inverse Problem for Dini Continuous Conductivities in the Plane
• Infinite-dimensional Lipschitz stability in the Calderón problem and general Zernike bases
• Partial data stability for the inverse fractional conductivity problem
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• Calderón's problem for some classes of conductivities in circularly symmetric domains