Determining Conductivity by Boundary Measurements. II. Interior Results.
MARYLAND UNIV COLLEGE PARK LAB FOR NUMERICAL ANALYSIS
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In a recent paper the authors showed that an unknown real-analytic conductivity gamma may be determined from static boundary measurements. In this document they extend this analysis by demonstrating that a similar result holds for piecewise real-analytic conductivities. In addition, for the special case of a layered structure it is shown that a three times continuously differentiable conductivity is identifiable by boundary measurements. Originator-supplied keywords include Inversion, Convergence, Algorithms, Estimates, Coefficients.
- Theoretical Mathematics
- Electricity and Magnetism