Inverse boundary value problems at the boundary—continuous dependence
- 1 March 1988
- journal article
- research article
- Published by Wiley in Communications on Pure and Applied Mathematics
- Vol. 41 (2) , 197-219
- https://doi.org/10.1002/cpa.3160410205
Abstract
We use the methods of microlocal analysis to give a new proof of a theorem of Kohn and Vogelius, showing that the boundary values of a continuous isotropic conductivity can be recovered from voltage and current measurements at the boundary. Moreover, we prove sharp estimates to establish the continuous dependence of the boundary values of the conductivity on the voltage to current maps.Keywords
This publication has 3 references indexed in Scilit:
- A Global Uniqueness Theorem for an Inverse Boundary Value ProblemAnnals of Mathematics, 1987
- A uniqueness theorem for an inverse boundary value problem in electrical prospectionCommunications on Pure and Applied Mathematics, 1986
- Determining conductivity by boundary measurementsCommunications on Pure and Applied Mathematics, 1984