6 A new approach to hyperbolic inverse problems
نویسنده
چکیده
A new approach to hyperbolic inverse problems. Abstract We present a modification of the BC-method in the inverse hyper-bolic problems. The main novelty is the study of the restrictions of the solutions to the characteristic surfaces instead of the fixed time hyperplanes. The main result is that the time-dependent Dirichlet-to-Neumann operator prescribed on a part of the boundary uniquely determines the coefficients of the self-adjoint hyperbolic operator up to a diffeomorphism and a gauge transformation. In this paper we prove the crucial local step. The global step of the proof will be presented in the forthcoming paper.
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5 A new approach to hyperbolic inverse problems
A new approach to hyperbolic inverse problems. Abstract We present a modification of the BC-method that allows one to treat the inverse hyperbolic problem in the nonself-adjoint case without extra conditions. Our way to recover the metric is different from the BC-method approach.
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