Let $\Omega$ be a an open, bounded sobset of $\bbd R ^2$ with smooth boundary and $D \subset\Omega$ an open subset such that $\Omega - \bar D$ is connected. Let the background conductivity be a symmetric, positive definite matrix and $u$ solve the conductivity equation in $\Omega$ plus suitable boundary conditions.
Crosta, G. (2009). Mathematical Review of MR2484149 "Complex geometrical optics solutions for anisotropic equations and applications." by Takuwa, H.; Uhlmann, G.; Wang, J.-N. , J. Inverse Ill-Posed Probl. 16 (2008), no. 8, 791–804. MATHEMATICAL REVIEWS.
Mathematical Review of MR2484149 "Complex geometrical optics solutions for anisotropic equations and applications." by Takuwa, H.; Uhlmann, G.; Wang, J.-N. , J. Inverse Ill-Posed Probl. 16 (2008), no. 8, 791–804
CROSTA, GIOVANNI FRANCO FILIPPO
2009
Abstract
Let $\Omega$ be a an open, bounded sobset of $\bbd R ^2$ with smooth boundary and $D \subset\Omega$ an open subset such that $\Omega - \bar D$ is connected. Let the background conductivity be a symmetric, positive definite matrix and $u$ solve the conductivity equation in $\Omega$ plus suitable boundary conditions.
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