Increasing stability for the conductivity and attenuation coefficients
Isakov, Victor Lai, Ru-Yu Wang, Jenn-Nan
Isakov, Victor
Lai, Ru-Yu
Wang, Jenn-Nan
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2016
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Article
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Inverse problems,Stability,Electromagnetic theory,Geophysics
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Victor Isakov, Ru-Yu Lai, and Jenn-Nan Wang. Increasing Stability for the Conductivity and Attenuation Coefficients. SIAM Journal on Mathematical Analysis 2016 48:1, 569-594
Abstract
In this work we consider stability of recovery of the conductivity and attenuation coefficients of the stationary Maxwell and Schrodinger equations from a complete set of (Cauchy) boundary data. By using complex geometrical optics solutions we derive some bounds which can be viewed as an evidence of increasing stability in these inverse problems when the frequency is growing.
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Society for Industrial and Applied Mathematics
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SIAM Journal on Mathematical Analysis;v.48:no.1
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0036-1410