Read e-book online Applications of Elliptic Carleman Inequalities to Cauchy and PDF

Differential Equations

By Mourad Choulli

ISBN-10: 331933641X

ISBN-13: 9783319336411

This e-book offers a unified
approach to learning the soundness of either elliptic Cauchy difficulties and selected
inverse difficulties. in response to hassle-free Carleman inequalities, it establishes
three-ball inequalities, that are the foremost to deriving logarithmic stability
estimates for elliptic Cauchy difficulties and also are precious in proving stability
estimates for definite elliptic inverse problems. 

The ebook offers 3 inverse
problems, the 1st of which is composed in deciding upon the skin impedance of
an main issue from the some distance box development. the second one challenge investigates the detection
of corrosion by way of electrical dimension, whereas the 3rd matters the
determination of an attenuation coefficient from inner information, which is
motivated by way of an issue encountered in biomedical imaging.

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Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems (SpringerBriefs in Mathematics) by Mourad Choulli

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