Lecture XVI: The Continuity Equation and the Hopf-Lax Semigroup

章节
发表日期：

2024年

查看全文

Luigi Ambrosio,
Elia Brué,
Daniele Semola

摘要

We are now going to explore the connections between the classical ODE Cauchy problem, the continuity equation and the transport equation. These results will be applied to give a differential description (through the continuity equation) of the geodesics in the Wasserstein space.