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SUMMARY:Elliptic equations in open subsets of infinite dimensional Hilbert
  spaces - Da Prato\, G (Pisa)
DTSTART:20100104T100000Z
DTEND:20100104T110000Z
UID:TALK22166@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We consider the equation \n\n$$ \nlambda phi -Lphi  = f \n$$\n
 \nwhere $lambda geq 0$\; and L is the Ornstein{Uhlenbeck operator defined 
 in an open subset O of a Hilbert space H\, equipped with Dirichlet or Neum
 ann boundary conditions on the boundary of O. We discuss some existence an
 d regularity results of the solution u of the above equation  when the giv
 en function f  belongs to the  $L^2(O\; mu)$ and $mu$  is the invariant me
 asure of L
LOCATION:Seminar Room 1\, Newton Institute
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