By Mourad Choulli
This ebook offers a unified
approach to learning the steadiness of either elliptic Cauchy difficulties and selected
inverse difficulties. in keeping with ordinary Carleman inequalities, it establishes
three-ball inequalities, that are the foremost to deriving logarithmic stability
estimates for elliptic Cauchy difficulties and also are priceless in proving stability
estimates for convinced elliptic inverse problems.
The e-book provides 3 inverse
problems, the 1st of which is composed in deciding on the skin impedance of
an crisis from the some distance box trend. the second one challenge investigates the detection
of corrosion via electrical size, whereas the 3rd issues the
determination of an attenuation coefficient from inner info, which is
motivated through an issue encountered in biomedical imaging.
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Extra 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