Inverse source problem for the Boltzmann equation in cosmology
Analysis of PDEs
2023-05-02 v1
Abstract
We study the inverse problem of recovering primordial perturbations from anisotropies of Cosmic Microwave Background (CMB) using the kinetic model. Mathematically, the problem in concern is the inverse source problem for the linear Boltzmann equation with measurements on some Cauchy surface. We obtain two stable determination results for generic absorption coefficients and scattering kernels.
Keywords
Cite
@article{arxiv.2305.00560,
title = {Inverse source problem for the Boltzmann equation in cosmology},
author = {Yiran Wang},
journal= {arXiv preprint arXiv:2305.00560},
year = {2023}
}