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＜電子ブック＞
Carleman Estimates for Second Order Partial Differential Operators and Applications : A Unified Approach / by Xiaoyu Fu, Qi Lü, Xu Zhang
(SpringerBriefs in Mathematics. ISSN:21918201)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2019
本文言語	英語
大きさ	XI, 127 p. 3 illus., 2 illus. in color : online resource
著者標目	*Fu, Xiaoyu author Lü, Qi author Zhang, Xu author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:System theory LCSH:Control theory FREE:Differential Equations FREE:Systems Theory, Control
一般注記	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 interestto all researchers in the field HTTP:URL=https://doi.org/10.1007/978-3-030-29530-1

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