Inverse problems for general second order hyperbolic equations with time-dependent coefficients
Analysis of PDEs
2017-07-18 v4
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].
Cite
@article{arxiv.1503.00825,
title = {Inverse problems for general second order hyperbolic equations with time-dependent coefficients},
author = {Gregory Eskin},
journal= {arXiv preprint arXiv:1503.00825},
year = {2017}
}
Comments
Corrections suggested by the referee are made, Bull. Math. Sci. (2017)