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SUMMARY:Analysis in weighted spaces: functional calculus and parabolic bou
 ndary value problems
DTSTART:20260730T140000
DTEND:20260730T150000
DTSTAMP:20261007T061854Z
UID:fabe7edb1908bb68c861c2b9a75ef33dfca8f07ff56eb14a8b42a526
CATEGORIES:Conferences - Seminars
DESCRIPTION:Floris Roodenburg (TU Delft)\nIn this talk\, we discuss the de
 velopment of well-posedness and maximal regularity theory for parabolic bo
 undary value problems in the setting of weighted function spaces. We study
  prototype differential operators\, such as the Laplace operator\, on Sobo
 lev spaces with power weights measuring the distance to the boundary of th
 e domain. Using the weighted spaces\, we obtain a more flexible well-posed
 ness theory that avoids certain restrictive conditions required in the unw
 eighted setting. We discuss the fundamental properties of weighted functio
 n spaces\, as well as maximal regularity and the boundedness of the functi
 onal calculus for the Laplace operator on these spaces. Finally\, we demon
 strate applications to (stochastic) partial differential equations and\, i
 n particular\, parabolic boundary value problems with rough data. This tal
 k is based on joint projects with Robert Denk\, Nick Lindemulder\, Emiel L
 orist and Mark Veraar.
LOCATION:MA A1 12 https://plan.epfl.ch/?room==MA%20A1%2012
STATUS:CONFIRMED
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