Carleman Inequalities An Introduction and More /

• Κύριος συγγραφέας: Lerner, Nicolas (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 353
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.