期刊
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
卷 204, 期 3, 页码 917-944出版社
SPRINGER
DOI: 10.1007/s00205-012-0493-8
关键词
-
资金
- [20740036]
- Grants-in-Aid for Scientific Research [23740048, 22340036] Funding Source: KAKEN
We study contractivity properties of gradient flows for functions on normed spaces or, more generally, on Finsler manifolds. Contractivity of the flows turns out to be equivalent to a new notion of convexity for the functions. This is different from the usual convexity along geodesics in non-Riemannian Finsler manifolds. As an application, we show that the heat flow on Minkowski normed spaces other than inner product spaces is not contractive with respect to the quadratic Wasserstein distance.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据