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Carleman estimates for second order ...

Fu, Xiaoyu.

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

Record Type:	Electronic resources : Monograph/item
Title/Author:	Carleman estimates for second order partial differential operators and applications/ by 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.
[NT 15003449]:	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
Subject:	Carleman theorem. -
Online resource:	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 /
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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.
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950 $a Mathematics and Statistics (Springer-11649)