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SUMMARY:A monotone operator approach to SDEs with additive noise in the Yo
 ung regime. - Florian Bechtold (Sorbonne Université)
DTSTART:20200605T110000Z
DTEND:20200605T120000Z
UID:TALK142333@talks.cam.ac.uk
CONTACT:Renato Velozo
DESCRIPTION:A popular approach in studying nonlinear evolution problems (a
  prime example being given by the evolution problem associated with the p-
 Laplacian) is by the use of the theory of (maximally) monotone operators. 
 Typically in this setup\, a right-hand side is required to enjoy some Lp i
 n time regularity. We show how in the finite dimensional setting (that is 
 in studying ODEs instead of PDEs)\, one can modify this approach in order 
 to relax the regularity constraint on the right hand side to H-s for s\\in
  (0\,1/2). In particular\, this relaxation can thus be interpreted as prov
 iding a pathwise theory of stochastic differential equations with an addit
 ive noise whose sample paths enjoy time regularity Hs for s\\in (1/2\,1)\,
  therefore providing an alternative approach to the well known Young theor
 y for such equations.
LOCATION:Online (Ask for the link to rav25@cam.ac.uk).
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