Uniqueness in the Inverse Conductivity Problem for Nonsmooth Conductivities in Two Dimensions (1997)
by
Russell M. Brown
,
Gunther Uhlmann
,
Sobolev Space H
| Citations: | 23 - 8 self |
BibTeX
@MISC{Brown97uniquenessin,
author = {Russell M. Brown and Gunther Uhlmann and Sobolev Space H},
title = {Uniqueness in the Inverse Conductivity Problem for Nonsmooth Conductivities in Two Dimensions},
year = {1997}
}
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Abstract
this paper) imply, via Sobolev embedding, that the conductivity is continuous. It is interesting to note that the only uniqueness results available for conductivities which are discontinuous are due to Kohn and Vogelius [9] who study conductivities which are piecewise analytic and V. Isakov [8] who considers a class of conductivities which are piecewise C
