Inverse Problems for Partial Differential Equations (eBook)

Victor Isakov (Autor)

eBook Download: PDF

2017 | 3. Auflage
XV, 408 Seiten
Springer-Verlag
978-3-319-51658-5 (ISBN)

Infos

A comprehensive description of the current theoretical and numerical aspects of inverse problems in partial differential equations. Applications include recovery of inclusions from anomalies of their gravity fields, reconstruction of the interior of the human body from exterior electrical, ultrasonic, and magnetic measurement. By presenting the data in a readable and informative manner, the book introduces both scientific and engineering researchers as well as graduate students to the significant work done in this area in recent years, relating it to broader themes in mathematical analysis.

Inhalt

Inverse Problems.- Ill-Posed Problems and Regularization.- Uniqueness and Stability in the Cauchy Problem.- Elliptic Equations: Single Boundary Measurements.- Elliptic Equations: Many Boundary Measurements.- Scattering Problems and Stationary Waves.- Integral Geometry and Tomography.- Hyperbolic Problems.- Inverse Parabolic Problems.- Some Numerical Methods.- Appendix: Functional Spaces.

Produkt-Details

• Erscheint lt. Verlag: 24.2.2017
• Reihe/Serie: Applied Mathematical Sciences
• Zusatzinfo: XV, 406 p. 4 illus.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Themenwelt: Technik
• Schlagworte: Carleman estimates • ill-posed problems • Inverse Problems • Partial differential equations • Remote Sensing • Remote Sensing/Photogrammetry • Tomography • Uniqueness and Stability of the Continuation
• ISBN-10: 3-319-51658-2 / 3319516582
• ISBN-13: 978-3-319-51658-5 / 9783319516585