科学研究
学术报告
The Dual Minkowski Problem for Symmetric Convex Bodies
发布时间𓀝:2019-06-04浏览次数:

题目🧑‍✈️🪟:The Dual Minkowski Problem for Symmetric Convex Bodies

报告人:Zhao Yiming C.L.E. moore instructor(Massachusetts Institute of Technology)

地点✉️:致远楼 101 室

时间🪳🍻:2019 年 06 月04 日 10:00-11:00

摘要:The dual Minkowski problem asks for the necessary and sufficient conditions on a given measure $/mu$ so that it can be realized as the dual curvature measure of a convex body. Just like the classical Minkowski problem, the dual Minkowski problem reduces to Monge-Ampere type equation. However, in this talk, we shall solve the dual Minkowski problem for $o$-symmetric convex bodies directly for measures using variation of calculus. The solution is closely connected to a measure concentration condition.

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