東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Carleman estimates for second order ...

Fu, Xiaoyu.

FindBook

Google Book

Amazon

博客來

Carleman estimates for second order partial differential operators and applications = a unified approach /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Carleman estimates for second order partial differential operators and applications/ by Xiaoyu Fu, Qi Lu, Xu Zhang.
其他題名:	a unified approach /
作者:	Fu, Xiaoyu.
其他作者:	Lu, Qi.
出版者:	Cham :Springer International Publishing : : 2019.,
面頁冊數:	xi, 127 p. :ill. (some col.), digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Carleman theorem. -
電子資源:	https://doi.org/10.1007/978-3-030-29530-1
ISBN:	9783030295301

Carleman estimates for second order partial differential operators and applications = a 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

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

3270405
Carleman theorem.

LC Class. No.: QA331 / .F895 2019

Dewey Class. No.: 515.7242

Carleman estimates for second order partial differential operators and applications = a unified approach /
LDR:02375nmm a2200337 a 4500 001 2219044
003 DE-He213
005 20200131093700.0
006 m d
007 cr nn 008maaau
008 201126s2019 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 3453998
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 3270405
650 1 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Systems Theory, Control. $3 893834
700 1 $a Lu, Qi. $3 1035386
700 1 $a Zhang, Xu. $3 1020737
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in mathematics. $3 1566700
856 4 0 $u https://doi.org/10.1007/978-3-030-29530-1
950 $a Mathematics and Statistics (Springer-11649)