On the light ray transform of wave equation solutions
Analysis of PDEs
2021-01-01 v2
Abstract
We study the light ray transform on Minkowski space-time and its small metric perturbations acting on scalar functions which are solutions to wave equations. We show that the light ray transform uniquely determines the function in a stable way. The problem is of particular interest because of its connection to inverse problems of the Sachs-Wolfe effect in cosmology.
Cite
@article{arxiv.1912.02848,
title = {On the light ray transform of wave equation solutions},
author = {András Vasy and Yiran Wang},
journal= {arXiv preprint arXiv:1912.02848},
year = {2021}
}