Existence and uniqueness of solutions to Liouville equation
Analysis of PDEs
2025-01-31 v1 Mathematical Physics
math.MP
Abstract
We prove some general results on the existence and uniqueness of solutions to the Liouville equation. Then, we discuss the sharpness and possible generalizations. Finally, we give several applications, arising in both mathematics and physics.
Cite
@article{arxiv.2501.18234,
title = {Existence and uniqueness of solutions to Liouville equation},
author = {Alireza Ataei},
journal= {arXiv preprint arXiv:2501.18234},
year = {2025}
}