Support theorem for the Light-Ray transform of vector fields on Minkowski spaces

Abstract

We study the Light-Ray transform of integrating vector fields on the Minkowski time-space $\boldsymbol{{\rm R}}^{1+n}$, $n≥ 2$, with the Minkowski metric. We prove a support theorem for vector fields vanishing on an open set of light-like lines. We provide examples to illustrate the application of our results to the inverse problem for the hyperbolic Dirichlet-to-Neumann map.

Identifiers

DOI

10.3934/ipi.2018013

Citations and references