Inverse problems for general second order hyperbolic equations with time-dependent coefficients
Open Access
- 6 March 2017
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in Bulletin of Mathematical Sciences
- Vol. 7 (2), 247-307
- https://doi.org/10.1007/s13373-017-0100-2
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 Eskin (Inverse Probl 22(3):815–833, 2006; Inverse Probl 23:2343–2356, 2007).Keywords
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