By Mourad Choulli
This ebook offers a unified
approach to learning the steadiness of either elliptic Cauchy difficulties and selected
inverse difficulties. in line with straightforward Carleman inequalities, it establishes
three-ball inequalities, that are the main to deriving logarithmic stability
estimates for elliptic Cauchy difficulties and also are important in proving stability
estimates for yes elliptic inverse problems.
The ebook offers 3 inverse
problems, the 1st of which is composed in selecting the outside impedance of
an challenge from the a long way 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 by way of an issue encountered in biomedical imaging.
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