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arXiv · 1503.00825

Inverse problems for general second order hyperbolic equations with time-dependent coefficients

Gregory Eskin
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Abstract

We study the inverse problems for the second order hyperbolic equations of general form with time-dependent coefficients assuming that the boundary data are given on a part of the boundary. The main result of this paper is the determination of the time-dependent Lorentzian metric by the boundary measurements. This is achieved by the adaptation of a variant of the Boundary Control method developed by the author in [E1], [E2].

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Gregory Eskin. 2017-03-12. Inverse problems for general second order hyperbolic equations with time-dependent coefficients. https://doi.org/10.1007/s13373-017-0100-2

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