论文标题
MTW条件的弱公式和电势的凸特性
Weak formulation of the MTW condition and convexity properties of potentials
论文作者
论文摘要
我们简化了弱Ma-trudinger-wang条件的几何解释，以实现最佳运输的规律性，并提供了本地$ C $ -CONVEX电位的全局C型convexity的几何证据，而成本函数$ c $仅假定两倍。
We simplify the geometric interpretation of the weak Ma-Trudinger-Wang condition for regularity in optimal transportation and provide a geometric proof of the global c-convexity of locally $c$-convex potentials when the cost function $c$ is only assumed twice differentiable.
