Integral stability of Calderón inverse conductivity problem in the plane

Details Integral stability of Calderón inverse conductivity problem in the plane Integral stability of Calderón inverse conductivity problem in the plane

2008-07-25

arxiv.org/abs/0807.4148v1

Mathematics

Analysis of PDEs

Scientific paper

It is proved that, in two dimensions, the Calder\'on inverse conductivity
problem in Lipschitz domains is stable in the $L^p$ sense when the
conductivities are uniformly bounded in any fractional Sobolev space
$W^{\alpha,p}$ $\alpha>0, 1

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