By Mourad Choulli
This e-book provides a unified
approach to learning the steadiness of either elliptic Cauchy difficulties and selected
inverse difficulties. in accordance with ordinary Carleman inequalities, it establishes
three-ball inequalities, that are the most important to deriving logarithmic stability
estimates for elliptic Cauchy difficulties and also are helpful in proving stability
estimates for convinced elliptic inverse problems.
The e-book offers 3 inverse
problems, the 1st of which is composed in settling on the skin impedance of
an difficulty from the a long way box development. 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.
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Additional resources 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