Morassi A. Uniqueness and stability in determining a rigid inclusion in an elastic body / Morassi A., Rosset E. - Providence: American Mathematical Society, 2009. - vii, 58 p. - (Memoirs of the American Mathematical Society; Vol.200, N 938). - Bibliogr.: p.57-58. - ISBN 978-0-8218-4325-3; ISSN 0065-9266  Место хранения:   013 | Институт математики СО РАН | Новосибирск | Библиотека

Contents

Acknowledgments ............................................... vii Chapter 1. Introduction ......................................... 1 Chapter 2. Main results ......................................... 7 2.1. Notation and definitions ........................ 7 2.2. A priori information ............................ 9 2.3. Statement of the main results .................. 11 Chapter 3. Proof of the uniqueness result ...................... 13 Chapter 4. Proof of the stability result ....................... 19 Chapter 5. Proof of Proposition 4.1 ............................ 23 Chapter 6. Stability estimates of continuation from Cauchy data ......................................... 29 Chapter 7. Proof of Proposition 4.2 in the 3-D case ............ 45 Chapter 8. A related inverse problem in electrostatics ......... 53 Bibliography ................................................... 57