Language:
English
繁體中文
Help
圖資館首頁
Login
Back
Switch To:
Labeled
|
MARC Mode
|
ISBD
Carleman inequalitiesan introduction...
~
Lerner, Nicolas.
Carleman inequalitiesan introduction and more /
Record Type:
Electronic resources : Monograph/item
Title/Author:
Carleman inequalitiesby Nicolas Lerner.
Reminder of title:
an introduction and more /
Author:
Lerner, Nicolas.
Published:
Cham :Springer International Publishing :2019.
Description:
xxvii, 557 p. :ill., digital ;24 cm.
Contained By:
Springer eBooks
Subject:
Inequalities (Mathematics)
Online resource:
https://doi.org/10.1007/978-3-030-15993-1
ISBN:
9783030159931$q(electronic bk.)
Carleman inequalitiesan introduction and more /
Lerner, Nicolas.
Carleman inequalities
an introduction and more /[electronic resource] :by Nicolas Lerner. - Cham :Springer International Publishing :2019. - xxvii, 557 p. :ill., digital ;24 cm. - Grundlehren der mathematischen wissenschaften, a series of comprehensive studies in mathematics,v.3530072-7830 ;. - Grundlehren der mathematischen wissenschaften, a series of comprehensive studies in mathematics ;345..
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.
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 Calderon's and Hormander'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 Hormander'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.
ISBN: 9783030159931$q(electronic bk.)
Standard No.: 10.1007/978-3-030-15993-1doiSubjects--Topical Terms:
183909
Inequalities (Mathematics)
LC Class. No.: QA295 / .L476 2019
Dewey Class. No.: 515.26
Carleman inequalitiesan introduction and more /
LDR
:03116nmm a2200337 a 4500
001
559020
003
DE-He213
005
20191031172403.0
006
m d
007
cr nn 008maaau
008
191219s2019 gw s 0 eng d
020
$a
9783030159931$q(electronic bk.)
020
$a
9783030159924$q(paper)
024
7
$a
10.1007/978-3-030-15993-1
$2
doi
035
$a
978-3-030-15993-1
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA295
$b
.L476 2019
072
7
$a
PBKF
$2
bicssc
072
7
$a
MAT037000
$2
bisacsh
072
7
$a
PBKF
$2
thema
082
0 4
$a
515.26
$2
23
090
$a
QA295
$b
.L616 2019
100
1
$a
Lerner, Nicolas.
$3
497836
245
1 0
$a
Carleman inequalities
$h
[electronic resource] :
$b
an introduction and more /
$c
by Nicolas Lerner.
260
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2019.
300
$a
xxvii, 557 p. :
$b
ill., digital ;
$c
24 cm.
490
1
$a
Grundlehren der mathematischen wissenschaften, a series of comprehensive studies in mathematics,
$x
0072-7830 ;
$v
v.353
505
0
$a
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.
520
$a
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 Calderon's and Hormander'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 Hormander'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.
650
0
$a
Inequalities (Mathematics)
$3
183909
650
0
$a
Carleman theorem.
$3
797608
650
1 4
$a
Operator Theory.
$3
274795
650
2 4
$a
Partial Differential Equations.
$3
274075
710
2
$a
SpringerLink (Online service)
$3
273601
773
0
$t
Springer eBooks
830
0
$a
Grundlehren der mathematischen wissenschaften, a series of comprehensive studies in mathematics ;
$v
345.
$3
569154
856
4 0
$u
https://doi.org/10.1007/978-3-030-15993-1
950
$a
Mathematics and Statistics (Springer-11649)
based on 0 review(s)
ALL
電子館藏
Items
1 records • Pages 1 •
1
Inventory Number
Location Name
Item Class
Material type
Call number
Usage Class
Loan Status
No. of reservations
Opac note
Attachments
000000171410
電子館藏
1圖書
電子書
EB QA295 .L616 2019 2019
一般使用(Normal)
On shelf
0
1 records • Pages 1 •
1
Multimedia
Multimedia file
https://doi.org/10.1007/978-3-030-15993-1
Reviews
Add a review
and share your thoughts with other readers
Export
pickup library
Processing
...
Change password
Login