Lipschitz stability in an inverse problem for a hyperbolic equation with a finite set of boundary data
We consider an inverse problem of determining multiple coefficients of principal part of a scalar hyperbolic equation with Dirichlet boundary data. We prove the uniqueness and a Lipschitz stability estimate in the inverse problem with some observations on a suitable sub-boundary satisfying an appropriate geometrical condition. The key is a Carleman estimate for a hyperbolic operator with variable coefficients.
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Document Type: Research Article
Publication date: 2008-10-01