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SUMMARY:Regularity results for SPDE in square function spaces - Weis\, L (
 Karlsruhe Institute of Technology (KIT))
DTSTART:20120911T085000Z
DTEND:20120911T094000Z
UID:TALK39669@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Square function norms\, as in the Burkholder-Davis-Gundy inequ
 alities for vector-valued martingales\, also play an important role in har
 monic analysis and spectral theory\, e.g. in the Paley-Littlewood theory f
 or elliptic operators. Methods from these three theories intersect in exis
 tence and regularity theorems for SPDE and it is therefore natural to expl
 ore how the regularity of their solutions can be expressed in these norms.
  In particular one can prove maximal regularity results for equations in r
 eflexive L_p spaces\, which directly extend the known Hilbert space result
 s. For p strictly between 1 and 2\, these are the first maximal regularity
  results in the literature. \n
LOCATION:Seminar Room 1\, Newton Institute
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