By Mourad Choulli
This booklet offers a unified
approach to learning the steadiness of either elliptic Cauchy difficulties and selected
inverse difficulties. in response to trouble-free Carleman inequalities, it establishes
three-ball inequalities, that are the most important to deriving logarithmic stability
estimates for elliptic Cauchy difficulties and also are priceless in proving stability
estimates for definite elliptic inverse problems.
The publication provides 3 inverse
problems, the 1st of which is composed in selecting the skin impedance of
an predicament from the some distance box development. the second one challenge investigates the detection
of corrosion through electrical dimension, whereas the 3rd matters the
determination of an attenuation coefficient from inner facts, which is
motivated by way of an issue encountered in biomedical imaging.
Read Online or Download Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems (SpringerBriefs in Mathematics) PDF
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Additional info for Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems (SpringerBriefs in Mathematics)
Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems (SpringerBriefs in Mathematics) by Mourad Choulli
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