マス・フォア・インダストリ研究所

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リスト 全て(掲示受付分)(1730) 今日・明日のセミナー(0)

Eikonal Equations on Metric Spaces


開催時期 2020-05-29 15:30~2020-05-29 16:30

場所 Zoomによるオンラインセミナー

受講対象  

講師 柳 青 (福岡大学)

【概要】
The Hamilton-Jacobi equation in general metric spaces recently attracts a great deal of attention because of its broad applications in optimal transport, mean field theory, traffic flow, neural networks, etc. In this talk, we focus on the eikonal equation, a special case of the Hamilton-Jacobi equation. After giving a review of fundamental results in the Euclidean space, we compare several known notions of metric viscosity solutions and show the equivalence of these notions in a complete length space. This talk is based on joint work with Nageswari Shanmugalingam (U. Cincinnati) and Xiaodan Zhou (OIST).


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