Carleman Estimates for Coefficient Inverse Problems and Numerical Applications

Michael V. Klibanov; Alexander A. Timonov

Published by De Gruyter 2012

Carleman Estimates for Coefficient Inverse Problems and Numerical Applications

Michael V. Klibanov and Alexander A. Timonov

Volume 46 in the series Inverse and Ill-Posed Problems Series

https://doi.org/10.1515/9783110915549

Overview
Contents

About this book

In this monograph, the main subject of the author's considerations is coefficient inverse problems. Arising in many areas of natural sciences and technology, such problems consist of determining the variable coefficients of a certain differential operator defined in a domain from boundary measurements of a solution or its functionals. Although the authors pay strong attention to the rigorous justification of known results, they place the primary emphasis on new concepts and developments.

Author / Editor information

Michael V. Klibanov, University of North Carolina, Charlotte, USA; Alexander A. Timonov, University of North Carolina, Upstate, USA.

Topics

i-iv Requires Authentication Unlicensed Licensed Download PDF	i
Preface Requires Authentication Unlicensed Licensed Download PDF	v
Contents Requires Authentication Unlicensed Licensed Download PDF	vii
Chapter 1. Introduction Requires Authentication Unlicensed Licensed Download PDF	1
Chapter 2. Carleman estimates and ill-posed Cauchy problems Requires Authentication Unlicensed Licensed Download PDF	35
Chapter 3. Global uniqueness results in high dimensions Requires Authentication Unlicensed Licensed Download PDF	77
Chapter 4. The global uniqueness of a nonlinear parabolic problem Requires Authentication Unlicensed Licensed Download PDF	113
Chapter 5. On the numerical solution of coefficient inverse problems Requires Authentication Unlicensed Licensed Download PDF	149
Chapter 6. Some globally convergent convexification algorithms Requires Authentication Unlicensed Licensed Download PDF	179
Chapter 7. Some applied problems Requires Authentication Unlicensed Licensed Download PDF	225
Bibliography Requires Authentication Unlicensed Licensed Download PDF	273

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Students, Researchers and Lecturers in Mathematics; Academic Libraries
Pages
- Front matter: 8
- Main content: 282
Keywords: Coefficient Inverse Problems; Coefficients; Differential Operator; Boundary Measurements

eBook

Published: April 17, 2012
ISBN: 9783110915549