國立高雄大學圖資館 |

Language: English

Back

Carleman estimates for second order ...

Fu, Xiaoyu.

Carleman estimates for second order partial differential operators and applicationsa unified approach /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Carleman estimates for second order partial differential operators and applicationsby Xiaoyu Fu, Qi Lu, Xu Zhang.
Reminder of title:	a unified approach /
Author:	Fu, Xiaoyu.
other author:	Lu, Qi.
Published:	Cham :Springer International Publishing :2019.
Description:	xi, 127 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Carleman theorem.
Online resource:	https://doi.org/10.1007/978-3-030-29530-1
ISBN:	9783030295301$q(electronic bk.)

Carleman estimates for second order partial differential operators and applicationsa unified approach /
Fu, Xiaoyu.

Carleman estimates for second order partial differential operators and applicationsa unified approach /[electronic resource] :by Xiaoyu Fu, Qi Lu, Xu Zhang. - Cham :Springer International Publishing :2019. - xi, 127 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

1 Introduction -- 2 Carleman estimates for second order elliptic operators and applications -- 3 Carleman estimates for second order parabolic operators and applications -- 4 Carleman estimates for second order hyperbolic operators and applications.

This book provides a brief, self-contained introduction to Carleman estimates for three typical second order partial differential equations, namely elliptic, parabolic, and hyperbolic equations, and their typical applications in control, unique continuation, and inverse problems. There are three particularly important and novel features of the book. First, only some basic calculus is needed in order to obtain the main results presented, though some elementary knowledge of functional analysis and partial differential equations will be helpful in understanding them. Second, all Carleman estimates in the book are derived from a fundamental identity for a second order partial differential operator; the only difference is the choice of weight functions. Third, only rather weak smoothness and/or integrability conditions are needed for the coefficients appearing in the equations. Carleman Estimates for Second Order Partial Differential Operators and Applications will be of interest to all researchers in the field.

ISBN: 9783030295301$q(electronic bk.)

Standard No.: 10.1007/978-3-030-29530-1doiSubjects--Topical Terms:

797608
Carleman theorem.

LC Class. No.: QA331 / .F895 2019

Dewey Class. No.: 515.7242

Carleman estimates for second order partial differential operators and applicationsa unified approach /
LDR:02375nmm a2200337 a 4500 001 568150
003 DE-He213
005 20200131093700.0
006 m d
007 cr nn 008maaau
008 200611s2019 sz s 0 eng d
020 $a 9783030295301$q(electronic bk.)
020 $a 9783030295295$q(paper)
024 7 $a 10.1007/978-3-030-29530-1 $2 doi
035 $a 978-3-030-29530-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA331 $b .F895 2019
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 515.7242 $2 23
090 $a QA331 $b .F949 2019
100 1 $a Fu, Xiaoyu. $3 853881
245 1 0 $a Carleman estimates for second order partial differential operators and applications $h [electronic resource] : $b a unified approach / $c by Xiaoyu Fu, Qi Lu, Xu Zhang.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a xi, 127 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8198
505 0 $a 1 Introduction -- 2 Carleman estimates for second order elliptic operators and applications -- 3 Carleman estimates for second order parabolic operators and applications -- 4 Carleman estimates for second order hyperbolic operators and applications.
520 $a This book provides a brief, self-contained introduction to Carleman estimates for three typical second order partial differential equations, namely elliptic, parabolic, and hyperbolic equations, and their typical applications in control, unique continuation, and inverse problems. There are three particularly important and novel features of the book. First, only some basic calculus is needed in order to obtain the main results presented, though some elementary knowledge of functional analysis and partial differential equations will be helpful in understanding them. Second, all Carleman estimates in the book are derived from a fundamental identity for a second order partial differential operator; the only difference is the choice of weight functions. Third, only rather weak smoothness and/or integrability conditions are needed for the coefficients appearing in the equations. Carleman Estimates for Second Order Partial Differential Operators and Applications will be of interest to all researchers in the field.
650 0 $a Carleman theorem. $3 797608
650 1 4 $a Partial Differential Equations. $3 274075
650 2 4 $a Systems Theory, Control. $3 274654
700 1 $a Lu, Qi. $3 683298
700 1 $a Zhang, Xu. $3 683299
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in mathematics. $3 558795
856 4 0 $u https://doi.org/10.1007/978-3-030-29530-1
950 $a Mathematics and Statistics (Springer-11649)