论文标题
凸重的大地测量学和应用程序的应用，并具有有限的缩回
Convex valued geodesics and applications to sweeping processes with bounded retraction
论文作者
论文摘要
在本文中，我们提供了一种随意局部缩回的扫描过程的公式，不一定是左或右连续的。此外，我们提供了该公式的解决方案的存在和独特性的证明，依赖于减少$ 1 $ -lipschitz的连续案例，通过使用合适的地理学家族对不对称的Hausdorff样距离，称为“多余”。
In this paper we provide a formulation for sweeping processes with arbitrary locally bounded retraction, not necessarily left or right continuous. Moreover we provide a proof of the existence and uniqueness of solutions for this formulation which relies on the reduction to the $1$-Lipschitz continuous case by using a suitable family of geodesics for the asymmetric Hausdorff-like distance called "excess".
