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UID:20260416T211939EDT-9479jBiGtV@132.216.98.100
DTSTAMP:20260417T011939Z
DESCRIPTION:Title: Heat kernel bounds and desingularizing weights for non-l
 ocal operators\n	Abstract: In 1998\, Milman and Semenov introduced the meth
 od of desingularizing weights in order to obtain sharp two-sided bounds on
  the heat kernel of the Schroedinger operator with a potential having crit
 ical-order singularity at the origin. In this talk\, I will discuss the me
 thod of desingularizing weights in a non-symmetric\, non-local situation. 
 In particular\, I will talk about sharp two-sided bounds on the heat kerne
 l of the fractional Laplacian perturbed by a Hardy drift. The crucial ingr
 edient of the desingularization method is a weighted L^1->L^1 estimate on 
 the semigroup\, leading to the weighted Nash initial estimate. Milman and 
 Semenov established this estimate appealing to the Stampacchia criterion i
 n L^2. These arguments becomes quite problematic in the non-local non-symm
 etric situation (e.g. for a strong enough singularity of the drift\, there
  is only L^p theory of the operator for p>2). The core of the talk will be
  the discussion of a new approach to the proof of this estimate. Joint wit
 h Yu.A.Semenov and K.Szczypkowsi (arxiv:1904.07363)\n
DTSTART:20190920T173000Z
DTEND:20190920T183000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Damir Kinzebulatov (Laval)
URL:https://www.mcgill.ca/mathstat/channels/event/damir-kinzebulatov-laval-
 300719
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