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SpringerBriefs in Mathematics
cover

Carleman Estimates for Second Order Partial Differential Operators and Applications

A Unified Approach

Authors: Fu, Xiaoyu, , Qi, Zhang, Xu

  • Self-contained introduction to Carleman estimates for three typical second order partial differential equations
  • All Carleman estimates are derived from a fundamental identity for a second order partial differential operator
  • Of wide interest to researchers in the field
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eBook 41,64 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: January 5, 2020
  • ISBN 978-3-030-29530-1
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Softcover 51,99 €
price for Spain (gross)
  • Due: January 5, 2020
  • ISBN 978-3-030-29529-5
  • Free shipping for individuals worldwide
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.


About the authors

Xiaoyu Fu is Professor of Mathematics in the School of Mathematics, Sichuan University, Chengdu, China. Her main research interest is control theory of partial differential equations.

Qi Lü is a Professor in the School of Mathematics, Sichuan University, Chengdu, China. His main research interest is Mathematical Control Theory, including in particular control theory of deterministic and stochastic partial differential equations.

Xu Zhang is Cheung Kong Scholar Distinguished Professor in the School of Mathematics, Sichuan University, Chengdu, China. His main research interests include mathematical control theory and related partial differential equations and stochastic analysis.

Buy this book

eBook 41,64 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: January 5, 2020
  • ISBN 978-3-030-29530-1
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Softcover 51,99 €
price for Spain (gross)
  • Due: January 5, 2020
  • ISBN 978-3-030-29529-5
  • Free shipping for individuals worldwide
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Carleman Estimates for Second Order Partial Differential Operators and Applications
Book Subtitle
A Unified Approach
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-29530-1
DOI
10.1007/978-3-030-29530-1
Softcover ISBN
978-3-030-29529-5
Series ISSN
2191-8198
Edition Number
1
Number of Pages
XI, 127
Topics