By Mourad Choulli
This booklet provides a unified
approach to learning the soundness of either elliptic Cauchy difficulties and selected
inverse difficulties. in line with hassle-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 beneficial in proving stability
estimates for convinced elliptic inverse problems.
The e-book offers 3 inverse
problems, the 1st of which is composed in deciding on the outside impedance of
an hindrance from the some distance box development. the second one challenge investigates the detection
of corrosion by means of electrical dimension, whereas the 3rd matters the
determination of an attenuation coefficient from inner facts, which is
motivated via 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