By Mourad Choulli
This e-book offers a unified
approach to learning the soundness of either elliptic Cauchy difficulties and selected
inverse difficulties. according to basic 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 yes elliptic inverse problems.
The publication provides 3 inverse
problems, the 1st of which is composed in settling on the outside impedance of
an trouble from the a ways box trend. the second one challenge investigates the detection
of corrosion via electrical dimension, whereas the 3rd matters the
determination of an attenuation coefficient from inner facts, which is
motivated by way of 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