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Carleman Inequalities

An Introduction and More de

Éditeur :

Springer


Collection :

Grundlehren der mathematischen Wissenschaften

Paru le : 2019-05-18

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Description
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 Calderón's and Hörmander'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 betweenHolmgren's and Hörmander'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.
Pages
557 pages
Collection
Grundlehren der mathematischen Wissenschaften
Parution
2019-05-18
Marque
Springer
EAN papier
9783030159924
EAN PDF
9783030159931
Informations sur l'ebook
Nombre pages copiables
5
Nombre pages imprimables
55
Taille du fichier
7383 Ko
Prix
137,14 €
EAN EPUB
9783030159931
Informations sur l'ebook
Nombre pages copiables
5
Nombre pages imprimables
55
Taille du fichier
61542 Ko
Prix
137,14 €

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