By Mourad Choulli
This ebook offers a unified
approach to learning the steadiness of either elliptic Cauchy difficulties and selected
inverse difficulties. according 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 beneficial in proving stability
estimates for yes elliptic inverse problems.
The ebook provides 3 inverse
problems, the 1st of which is composed in identifying the outside impedance of
an trouble from the some distance box trend. the second one challenge investigates the detection
of corrosion by means of electrical size, whereas the 3rd matters the
determination of an attenuation coefficient from inner facts, which is
motivated via an issue encountered in biomedical imaging.
Read 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