Inverse Hyperbolic Problems with Time-Dependent Coefficients |
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Authors: | G. Eskin |
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Affiliation: | 1. Department of Mathematics , UCLA , Los Angeles, California, USA eskin@math.ucla.edu |
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Abstract: | We consider the inverse problem for the second order self-adjoint hyperbolic equation in a bounded domain in R n with lower order terms depending analytically on the time variable. We prove that, assuming the BLR condition, the time-dependent Dirichlet-to-Neumann operator prescribed on a part of the boundary uniquely determines the coefficients of the hyperbolic equation up to a diffeomorphism and a gauge transformation. As a by-product we prove a similar result for the nonself-adjoint hyperbolic operator with time-independent coefficients. |
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Keywords: | Hyperbolic equations Inverse problems Unique continuation |
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