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UID:20250730T041755EDT-8053UdcVos@132.216.98.100
DTSTAMP:20250730T081755Z
DESCRIPTION:Title: Li-Yau-Type Bounds for the Fractional Heat Equation\n\nA
 bstract: Differential Harnack bounds are a key analytical device that brid
 ge partial differential equations of the elliptic or parabolic type with H
 arnack bounds\, which provide pointwise estimates on the local variability
  of solutions. A prime example is the famous Li-Yau inequality\, which app
 lies to positive solutions of the classical heat equation. The growing int
 erest in the theory and applications of nonlocal diffusion models naturall
 y raises questions about analogues of Li-Yau-type inequalities in the nonl
 ocal setting. However\, despite many parallels between local and nonlocal 
 diffusion models\, even the model case of fractional heat flow presents bo
 th conceptual and technical challenges. In my talk\, I will discuss recent
  progress on optimal differential Harnack bounds for fractional heat flow.
  In particular\, I will show how the structural properties of these estima
 tes offer new insights into classical results for the standard heat equati
 on.\n\nWhere: Pavillion André-Aisenstadt\, room 5183\, and by Zoom (see li
 nk below)\n\nJoin Zoom Meeting\n\nhttps://ulaval.zoom.us/j/68262601278?pwd
 =lbtfo8PdaxRUhaarNyb3ukauehOrFm.1\n\nMeeting ID: 682 6260 1278\n\nPasscode
 : 127830\n\n \n
DTSTART:20250328T181500Z
DTEND:20250328T191500Z
SUMMARY:Mikolaj Sierzega (Cornell - University of Warsaw)
URL:/mathstat/channels/event/mikolaj-sierzega-cornell-
 university-warsaw-364501
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