Abstract
For the time-dependent vector and scalar potentials (A0, …, An) and V(t, x) respectively, the inverse boundary value problem for the hyperbolic partial differential equation is studied on a bounded and smooth cylindric domain ( − ∞, ∞) × Ω. Using a geometric optics construction, it is shown that the boundary data allow for the recovery of integrals of the potentials along ‘light rays’. The uniqueness of these potentials modulo a gauge transform is also established.
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