On Liouville transport equation with a force field in BVloc

Abstract

We prove the existence and uniqueness of renormalized solutions of the Liouville equation for n particles with a interaction potential in BVloc execpt at the origin. This implies the existence and uniqueness of a a.e. flow solution of the associated ODE.

0

Turn this paper into a lesson

ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.

Discussion (0)

Sign in to join the discussion.

Loading comments…