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SUMMARY:Strong uniqueness for stochastic evolution equations in Hilbert sp
 aces perturbed by a bounded measurable drift - Priola\, E (Universit degli
  Studi di Torino)
DTSTART:20120914T110000Z
DTEND:20120914T115000Z
UID:TALK39753@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:This is a joint work with G. Da Prato\, F. Flandoli and M. Roc
 kner. We prove pathwise (hence strong) uniqueness of solutions to stochast
 ic evolution equations in Hilbert spaces with merely measurable bounded dr
 ift and cylindrical Wiener noise\, thus generalizing Veretennikov's fundam
 ental result on $R^d$ to infinite dimensions. Because Sobolev regularity r
 esults implying continuity or smoothness of functions\, do not hold on inf
 inite dimensional spaces\, we employ methods and results developed in the 
 study of Malliavin-Sobolev spaces in infinite dimensions. The price we pay
  is that we can prove uniqueness for a large class\, but not for every ini
 tial distribution.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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