»ã±¨±êÌâ (Title)£ºRegularity of the chord log-Minkowski problem

ÖÐÎıêÌâ: ÏÒ¶ÔÊýãÉ¿É·ò˹»ùÎÊÌâµÄÕýÔòÐÔ

»ã±¨ÈË (Speaker)£ºÂ³½¨ ×êÑÐÔ±(»ªÄÏʦ·¶´óѧ)

»ã±¨¹¦·ò (Time)£º2023Äê11ÔÂ23ºÅ£¨ÖÜËÄ£©16:00

»ã±¨µØÖ· (Place)£ºÌÚѶ»áÒ飺921-522-704ÃÜÂ룺4930

Ô¼ÇëÈË(Inviter)£ºÏ¯¶«ÃË¡¢Àî½ú¡¢Õŵ¿­

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»ã±¨ÌáÒª£ºThe chord log-Minkowski problem arises from integral geometry, which was initially proposed by Lutwak-Xi-Yang-Zhang recently. In the smooth case, it is equivalent to solving a type of nonlocal Monge-Ampere equation on the unit hypersphere. Actually, it involves a Riesz potential defined on a bounded domain. We will mainly talk about a new result on the regularity of solutions to the chord log-Minkowski problem, which is based on a joint work with Jinrong Hu and Yong Huang.