Memoirs of the American Mathematical Society
2009;
58 pp;
Softcover
MSC: Primary 35;
Secondary 74
Print ISBN: 978-0-8218-4325-3
Product Code: MEMO/200/938
List Price: $60.00
AMS Member Price: $36.00
MAA Member Price: $54.00
Electronic ISBN: 978-1-4704-0552-6
Product Code: MEMO/200/938.E
List Price: $60.00
AMS Member Price: $36.00
MAA Member Price: $54.00
Uniqueness and Stability in Determining a Rigid Inclusion in an Elastic Body
Share this pageAntonino Morassi; Edi Rosset
The authors consider the inverse problem of determining a rigid inclusion inside an isotropic elastic body \(\Omega\), from a single measurement of traction and displacement taken on the boundary of \(\Omega\). For this severely ill–posed problem they prove uniqueness and a conditional stability estimate of log–log type.
Table of Contents
Table of Contents
Uniqueness and Stability in Determining a Rigid Inclusion in an Elastic Body
- Contents v6 free
- Acknowledgments vii8 free
- Chapter 1. Introduction 110 free
- Chapter 2. Main results 716 free
- Chapter 3. Proof of the uniqueness result 1322
- Chapter 4. Proof of the stability result 1928
- Chapter 5. Proof of Proposition 4.1 2332
- Chapter 6. Stability estimates of continuation from Cauchy data 2938
- Chapter 7. Proof of Proposition 4.2 in the 3-D case 4554
- Chapter 8. A related inverse problem in electrostatics 5362
- Bibliography 5766