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Carleman estimates for second order ...

Fu, Xiaoyu.

Carleman estimates for second order partial differential operators and applicationsa 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 applicationsby 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.
Contained By:	Springer eBooks
標題:	Carleman theorem.
電子資源:	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 /
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