Uniqueness and stability in determining a rigid inclusion in an elastic body / Antonino Morassi, Edi Rosset.

Format:

Book

Author/Creator:

Morassi, Antonino, author.

Rosset, Edi, 1961- author.

Series:

Memoirs of the American Mathematical Society ; Number 938.

Memoirs of the American Mathematical Society, 0065-9266 ; Number 938

Language:

English

Subjects (All):

Inverse problems (Differential equations)--Numerical solutions.

Inverse problems (Differential equations).

Numerical analysis--Improperly posed problems.

Numerical analysis.

Elasticity--Mathematical models.

Elasticity.

Physical Description:

1 online resource (74 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2009.

Language Note:

English

Summary:

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.

Contents:

""Contents""; ""Acknowledgments""; ""Chapter 1. Introduction""; ""Chapter 2. Main results""; ""2.1. Notation and definitions""; ""2.2. A priori information""; ""2.3. Statement of the 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""; ""Bibliography""

Notes:

"Volume 200, number 938 (third of 6 numbers)."

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-0552-0