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- Title
Dislocations in a layered elastic medium with applications to fault detection.
- Authors
Aspri, Andrea; Beretta, Elena; Mazzucato, Anna L.
- Abstract
We consider a model for elastic dislocations in geophysics. We model a portion of the Earth's crust as a bounded, inhomogeneous elastic body with a buried fault surface, along which slip occurs. We prove well-posedness of the resulting mixed-boundary-value-transmission problem, assuming only bounded elastic moduli. We establish uniqueness in the inverse problem of determining the fault surface and the slip from a unique measurement of the displacement on an open patch at the surface, assuming in addition that the Earth's crust is an isotropic, layered medium with Lamé coefficients piecewise Lipschitz on a known partition and that the fault surface satisfies certain geometric conditions. These results substantially extend those of the authors in [Arch. Ration. Mech. Anal. 263, 71-111 (2020)].
- Subjects
ELASTICITY; SURFACE fault ruptures; GEOPHYSICS; INVERSE problems; BOUNDARY value problems; UNIQUENESS (Mathematics); LIPSCHITZ spaces
- Publication
Journal of the European Mathematical Society (EMS Publishing), 2023, Vol 25, Issue 3, p1091
- ISSN
1435-9855
- Publication type
Article
- DOI
10.4171/JEMS/1243