»ã±¨±êÌâ (Title)£ºSingular McKean¨CVlasov SDEs: Well-posedness,regularities and Wang¡¯s Harnack inequality£¨Ææ¹ÖMcKean¨CVlasovËæ»ú΢·Ö·½³Ì£¬Êʶ¨Ïò£¬ÕýÔòÐÔºÍÍõÊÏHarnack²»µÈʽ£©

»ã±¨ÈË (Speaker)£ºÈÎÅÎÅÎAssistant Professor £¨Ïã¸Û³ÇÊдóѧ£©

»ã±¨¹¦·ò (Time)£º2024Äê12ÔÂ4ÈÕ (ÖÜËÄ) 16:00

»ã±¨µØÖ· (Place)£ºÌÚѶ»áÒ飺777-564-561 ÃÜÂ룺123456

Ô¼ÇëÈË(Inviter)£ºÑô·Ò·Ò

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»ã±¨ÌáÒª£ºThe well-posedness and regularity estimates in initial distributions are derived for singular McKean¨C Vlasov SDEs, where the drift contains a locally standard integrable term and a superlinear term in the spatial variable, and is Lipschitz continuous in the distribution variable with respect to a weighted variation distance. When the superlinear term is strengthened to be Lipschitz continuous, Wang¡¯s Harnack inequality is established. These results are new also for the classical It? SDEs where the coefficients are distribution independent.