Carleman Estimates for Second Order Partial Differential Operators and Applications
A Unified Approach
Qi Lu author Xu Zhang author Xiaoyu Fu author
Format:Paperback
Publisher:Springer Nature Switzerland AG
Published:13th Nov '19
Currently unavailable, and unfortunately no date known when it will be back
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.
“The book will be useful for specialists in the respective area of mathematical analysis as well as for specialists in the field of control theory.” (Vyacheslav I. Maksimov, zbMATH 1445.35006, 2020)
ISBN: 9783030295295
Dimensions: unknown
Weight: unknown
127 pages
1st ed. 2019