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Uniqueness and Stability in Determining a Rigid Inclusion in an Elastic Body
| eBook ISBN: | 978-1-4704-0552-6 |
| Product Code: | MEMO/200/938.E |
| List Price: | $60.00 |
| MAA Member Price: | $54.00 |
| AMS Member Price: | $36.00 |
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Uniqueness and Stability in Determining a Rigid Inclusion in an Elastic Body
| eBook ISBN: | 978-1-4704-0552-6 |
| Product Code: | MEMO/200/938.E |
| List Price: | $60.00 |
| MAA Member Price: | $54.00 |
| AMS Member Price: | $36.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 200; 2009; 58 ppMSC: Primary 35; Secondary 74
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.
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Table of Contents
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Chapters
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Chapter 1. Introduction
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Chapter 2. Main results
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Chapter 3. Proof of the uniqueness result
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Chapter 4. Proof of the stability result
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Chapter 5. Proof of Proposition 4.1
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Chapter 6. Stability estimates of continuation from Cauchy data
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Chapter 7. Proof of Proposition 4.2 in the 3-D case
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Chapter 8. A related inverse problem in electrostatics
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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Volume: 200; 2009; 58 pp
MSC: Primary 35; Secondary 74
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.
-
Chapters
-
Chapter 1. Introduction
-
Chapter 2. Main results
-
Chapter 3. Proof of the uniqueness result
-
Chapter 4. Proof of the stability result
-
Chapter 5. Proof of Proposition 4.1
-
Chapter 6. Stability estimates of continuation from Cauchy data
-
Chapter 7. Proof of Proposition 4.2 in the 3-D case
-
Chapter 8. A related inverse problem in electrostatics
Review Copy – for publishers of book reviews
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