國立虎尾科技大學 |

Carleman Estimates for Second Order Partial Differential Operators and Applications = A Unified Approach /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Carleman Estimates for Second Order Partial Differential Operators and Applications/ by Xiaoyu Fu, Qi Lü, Xu Zhang.
其他題名:	A Unified Approach /
作者:	Fu, Xiaoyu.
其他作者:	Lü, Qi.
面頁冊數:	XI, 127 p. 3 illus., 2 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Partial differential equations. -
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 Lü, Xu Zhang. - 1st ed. 2019. - XI, 127 p. 3 illus., 2 illus. in color.online resource. - 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:

1102982
Partial differential equations.

LC Class. No.: QA370-380

Dewey Class. No.: 515.353

Carleman Estimates for Second Order Partial Differential Operators and Applications = A Unified Approach /
LDR:02708nam a22003975i 4500 001 1014534
003 DE-He213
005 20200706202257.0
007 cr nn 008mamaa
008 210106s2019 gw | s |||| 0|eng d
020 $a 9783030295301 $9 978-3-030-29530-1
024 7 $a 10.1007/978-3-030-29530-1 $2 doi
035 $a 978-3-030-29530-1
050 4 $a QA370-380
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 515.353 $2 23
100 1 $a Fu, Xiaoyu. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1308753
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 Lü, Xu Zhang.
250 $a 1st ed. 2019.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a XI, 127 p. 3 illus., 2 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
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 Partial differential equations. $3 1102982
650 0 $a System theory. $3 566168
650 1 4 $a Partial Differential Equations. $3 671119
650 2 4 $a Systems Theory, Control. $3 669337
700 1 $a Lü, Qi. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1308754
700 1 $a Zhang, Xu. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1178970
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030295295
776 0 8 $i Printed edition: $z 9783030295318
830 0 $a SpringerBriefs in Mathematics, $x 2191-8198 $3 1255329
856 4 0 $u https://doi.org/10.1007/978-3-030-29530-1
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)