Abstract
In this article, we consider inverse scattering and inverse boundary value problems at sufficiently large and fixed energy for the multidimensional relativistic and nonrelativistic Newton equations in a static external electromagnetic field (V, B), V∈C2, B∈C1 in classical mechanics. Developing the approach going back to Gerver-Nadinashvili 1983's work on an inverse problem of mechanics, we obtain, in particular, theorems of uniqueness.
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