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Carleman Inequalities: An Introduction and More free ebook download

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Mathematics

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Author(s):	Nicolas Lerner

Date:	2019-06-14	Format:	pdf	Language:	English	ISBN/ASIN:	3030159922
Pages:	557	OCR:		Quality:		ISBN13:
Uploader:	gestalt	Upload Date:	5/22/2019 6:43:11 PM

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Over the past 25 years, Carleman estimates have become an essential tool in several areas related to partial differential equations such as control theory, inverse problems, or fluid mechanics. This book provides a detailed exposition of the basic techniques of Carleman Inequalities, driven by applications to various questions of unique continuation. Beginning with an elementary introduction to the topic, including examples accessible to readers without prior knowledge of advanced mathematics, the book's first five chapters contain a thorough exposition of the most classical results, such as Caldern's and Hrmander's theorems. Later chapters explore a selection of results of the last four decades around the themes of continuation for elliptic equations, with the Jerison-Kenig estimates for strong unique continuation, counterexamples to Cauchy uniqueness of Cohen and Alinhac & Baouendi, operators with partially analytic coefficients with intermediate results between Holmgren's and Hrmander's uniqueness theorems, Wolff's modification of Carleman's method, conditional pseudo-convexity, and more. With examples and special cases motivating the general theory, as well as appendices on mathematical background, this monograph provides an accessible, self-contained basic reference on the subject, including a selection of the developments of the past thirty years in unique continuation.

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Carleman Inequalities: An Introduction and More free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics