We derive a uniqueness proof of inclusions of di!erent (analytic) conductivities in the equation div(a grad u)"0 in under the minimal assumptions: (i) the boundaries of inclusions are only Lipschitz and (ii) we have no topological assumptions. For any Dirichlet data g, we are given the Neumann data
An Inverse Problem in Elastodynamics: Uniqueness of the Wave Speeds in the Interior
β Scribed by Lizabeth V. Rachele
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 199 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0022-0396
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## Abstract We consider a spherically symmetric, double characteristic initial value problem for the (real) EinsteinβMaxwellβscalar field equations. On the initial outgoing characteristic, the data is assumed to satisfy the Price law decay widely believed to hold on an event horizon arising from th
In this paper, we discuss an inverse problem in elasticity for determining a contact domain and stress on this domain. We show that this problem is an ill-posed problem, and we establish the uniqueness and ΒΈ-conditional stability estimation for the stress.
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