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CATEGORIES:Cambridge Analysts' Knowledge Exchange
SUMMARY:A monotone operator approach to SDEs with additive
  noise in the Young regime. - Florian Bechtold (So
 rbonne Université)
DTSTART;TZID=Europe/London:20200605T120000
DTEND;TZID=Europe/London:20200605T130000
UID:TALK142333AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/142333
DESCRIPTION:A popular approach in studying nonlinear evolution
  problems (a prime example being given by the evol
 ution problem associated with the p-Laplacian) is 
 by the use of the theory of (maximally) monotone o
 perators. Typically in this setup\, a right-hand s
 ide is required to enjoy some Lp in time regularit
 y. We show how in the finite dimensional setting (
 that is in studying ODEs instead of PDEs)\, one ca
 n modify this approach in order to relax the regul
 arity constraint on the right hand side to H-s for
  s\\in (0\,1/2). In particular\, this relaxation c
 an thus be interpreted as providing a pathwise the
 ory of stochastic differential equations with an a
 dditive noise whose sample paths enjoy time regula
 rity Hs for s\\in (1/2\,1)\, therefore providing a
 n alternative approach to the well known Young the
 ory for such equations.
LOCATION:Online (Ask for the link to rav25@cam.ac.uk).
CONTACT:Renato Velozo
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