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SUMMARY:A variational approach to parabolic equations and systems via the 
 calculus of variations 
DTSTART:20150619T151500
DTSTAMP:20260916T121922Z
UID:1bd0a815a24fa40cad182badfc339aae510479f2d6a5435a9434d454
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Paolo Marcellini\, Université de Florence\, Italie\nWe 
 introduce the notion of "variational solutions"\, also named "parabolic mi
 nimizers"\, to a class of evolutionary problems possessing a variational s
 tructure.\nThe advantage of these variational solutions stems from the fac
 t that they might exist even in situations where the associated nonlinear 
 parabolic system makes no sense. We should compare with the stationary cas
 e\, where it is possible to establish the existence of minimizers by the d
 irect methods of the calculus of variations in fairly general situations\,
  whereas additional stronger assumptions are needed to guarantee that the 
 minimizers fulfill the Euler-Lagrange system.\nUnder reasonable assumption
 s\, such as coercivity and convexity of the energy function\, the variatio
 nal solution exists and is unique. Under further natural growth conditions
 \, the variational solution is also the unique weak solution to the associ
 ated Cauchy-Dirichlet problem.\nThis is a joint collaboration with V.Böge
 lein and F.Duzaar.
LOCATION:MA A3 31
STATUS:CONFIRMED
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