Application of global Carleman estimates with rotated weights to an inverse problem for the wave equation |
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Authors: | Anna Doubova Axel Osses |
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Institution: | 1. Departamento E.D.A.N., University of Sevilla, Aptdo. 1160, 41080 Sevilla, Spain;2. Departamento de Ingenería Matemática, University of Chile, Casilla 170/3, correo 3, Santiago, Chili |
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Abstract: | We establish geometrical conditions for the inverse problem of determining a stationary potential in the wave equation with Dirichlet data from a Neumann measurement on a suitable part of the boundary. We present the stability results when we measure on a part of the boundary satisfying a rotated exit condition. The proofs rely on global Carleman estimates with angle type dependence in the weight functions. To cite this article: A. Doubova, A. Osses, C. R. Acad. Sci. Paris, Ser. I 341 (2005). |
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