»ã±¨±êÌâ (Title)£ºHamilton-Souplet-Zhang type estimate under integral Ricci curvature condition and its application to Li-Yau inequality

ÖÐÎıêÌ⣺»ý·ÖRicciÇúÂÊÇ°ÌáϵÄHamilton-Souplet-ZhangÐ͹À¼Æ¼°ÆäÔÚLi-Yau²»µÈʽÖеÄÀûÓÃ

»ã±¨ÈË (Speaker)£ºÖìÃÈ£¨»ª¶«Ê¦·¶´óѧ£©

»ã±¨¹¦·ò (Time)£º2023Äê11ÔÂ15ÈÕ(ÖÜÈý) 13:30

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿F309

Ô¼ÇëÈË(Inviter)£ºÏ¯¶«ÃË¡¢Àî½ú¡¢Õŵ¿­

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»ã±¨ÌáÒª£ºWe first prove a Hamilton-Souplet-Zhang type gradient estimate for the heat equation on Riemannian manifolds satisfying certain integral Ricci curvature condition. Then as an application, by implanting the Hamilton-Souplet-Zhang type estimate in an argument of Qi S. Zhang, we show that certain integral Li-Yau inequality holds for the heat equation in this circumstance. This is a joint work with Xingyu Song, Ling Wu, and Qi S. Zhang.