Carleman Inequalities An Introduction and More /

• Main Author: Lerner, Nicolas (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 353
• Subjects: Operator theory.; Partial differential equations.; Operator Theory.; Partial Differential Equations.

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 appli...

Table of Contents:

• 1 Prolegomena
• 2 A Toolbox for Carleman Inequalities
• 3 Operators with Simple Characteristics: Calderon's Theorems
• 4 Pseudo-convexity: Hormander's Theorems
• 5 Complex Coefficients and Principal Normality
• 6 On the Edge of Pseudo-convexity
• 7 Operators with Partially Analytic Coefficients
• 8 Strong Unique Continuation Properties for Elliptic Operators
• 9 Carleman Estimates via Brenner's Theorem and Strichartz Estimates
• 10 Elliptic Operators with Jumps; Conditional Pseudo-convexity
• 11 Perspectives and Developments
• A Elements of Fourier Analysis
• B Miscellanea
• References
• Index.