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Uniqueness and stability in multidimensional hyperbolic inverse problems
Institution:Department of Mathematical Sciences The University of Tokyo 3-8-1 Komaba, Meguro, Tokyo 153, Japan
Abstract:Under a weak regularity assumption, we prove the uniqueness in multidimensional hyperbolic inverse problems with a single measurement. Moreover we show that our uniqueness results yield the best possible Lipschitz stability in L2-space in the inverse problems by means of the exact observability inequality.
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