Identification of the Conductivity Coefficient in an Elliptic Equation
- 1 May 1987
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 18 (3) , 777-787
- https://doi.org/10.1137/0518059
Abstract
Consider an elliptic equation in a two-dimensional domain $\Omega $ with conductivity coefficient $a = 1 + k_{\chi _D} (k \ne 0)$ where D is a subdomain of $\Omega $. From the measurements of a pair of Dirichlet and Neumann data one wishes to identify D. It is proved that this problem is stable in some local sense.
Keywords
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