Klibanov / Timonov Carleman Estimates for Coefficient Inverse Problems and Numerical Applications

1. Auflage 2012
ISBN: 978-3-11-091554-9
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 290 Seiten

Reihe: ISSN

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.

Zielgruppe

Students, Researchers and Lecturers in Mathematics; Academic Libr

Autoren/Hrsg.

Klibanov, Michael V.

Timonov, Alexander A.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Inhaltsverzeichnis

Frontmatter
Preface
Contents
Chapter 1. Introduction
Chapter 2. Carleman estimates and ill-posed Cauchy problems
Chapter 3. Global uniqueness results in high dimensions
Chapter 4. The global uniqueness of a nonlinear parabolic problem
Chapter 5. On the numerical solution of coefficient inverse problems
Chapter 6. Some globally convergent convexification algorithms
Chapter 7. Some applied problems
Bibliography

Über Autor(innen)

Timonov, Alexander A.
Alexander A. Timonov, University of North Carolina, Upstate, USA.

Klibanov, Michael V.
Michael V. Klibanov,University of North Carolina, Charlotte, USA;

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