دانلود کتاب Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems

Name: Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems
Availability: InStock
Author: Mourad Choulli
ISBN: 331933641X,9783319336411,9783319336428

by Mourad Choulli

عنوان فارسی: کاربرد نابرابری های اللپتیک کارلمن به مشکلات کوشی و معکوس
ناشر: Springer
سال: 2016
ویرایش: 1st ed.
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 81-88
شابک: 331933641X,9783319336411,9783319336428
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 0.80 مگابایت

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جزییات کتاب

This book presents a unified approach to studying the stability of both elliptic Cauchy problems and selected inverse problems. Based on elementary Carleman inequalities, it establishes three-ball inequalities, which are the key to deriving logarithmic stability estimates for elliptic Cauchy problems and are also useful in proving stability estimates for certain elliptic inverse problems. The book presents three inverse problems, the first of which consists in determining the surface impedance of an obstacle from the far field pattern. The second problem investigates the detection of corrosion by electric measurement, while the third concerns the determination of an attenuation coefficient from internal data, which is motivated by a problem encountered in biomedical imaging.

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