Coverart for item
The Resource Carleman Inequalities : An Introduction and More, by Nicolas Lerner, (electronic resource)

Carleman Inequalities : An Introduction and More, by Nicolas Lerner, (electronic resource)

Label
Carleman Inequalities : An Introduction and More
Title
Carleman Inequalities
Title remainder
An Introduction and More
Statement of responsibility
by Nicolas Lerner
Creator
Subject
Language
eng
Summary
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 between Holmgren'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.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Lerner, Nicolas
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,
  • Springer eBooks
  • Springer eBooks.
Series volume
353
http://library.link/vocab/subjectName
  • Operator theory
  • Differential equations, partial
Label
Carleman Inequalities : An Introduction and More, by Nicolas Lerner, (electronic resource)
Link
https://link-springer-com.ezproxy.eui.eu/book/10.1007/978-3-030-15993-1
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Control code
978-3-030-15993-1
Dimensions
unknown
Extent
1 online resource (XXVII, 557 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783030159931
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
43 illustrations, 10 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1101966661
Label
Carleman Inequalities : An Introduction and More, by Nicolas Lerner, (electronic resource)
Link
https://link-springer-com.ezproxy.eui.eu/book/10.1007/978-3-030-15993-1
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Control code
978-3-030-15993-1
Dimensions
unknown
Extent
1 online resource (XXVII, 557 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783030159931
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
43 illustrations, 10 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1101966661

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