BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY: Quasilinear SPDEs via rough paths - Hendrik Weber (Warwick)
DTSTART:20161108T163000Z
DTEND:20161108T173000Z
UID:TALK67743@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:In this talk I will present a new approach to solve singular s
 tochastic PDE\nwhich extends directly Gubinelli’s notion of controlled r
 ough paths and is also\nclosely related to Hairer’s theory of regularity
  structures.  The approach is implemented\nfor the variable-coefficient un
 iformly parabolic PDE\n\n<img src="http://latex.codecogs.com/gif.latex?%5C
 large%20%5Cpartial_2%20u%20-%20a%28u%29%5Cpartial_1%5E2u%20-%20%5Csigma%28
 u%29f%20%3D0%2C">\n\nwhere  <img src="http://latex.codecogs.com/gif.latex?
 f"> is an irregular random distribution. The assumptions  allow\, for exam
 ple\,  for an\n<img src="http://latex.codecogs.com/gif.latex?f"> which is 
 white in time and only mildly coloured in space.\n\nThe key result is a de
 terministic stability result (in the spirit of the Lyons-Itô map) for sol
 utions\nof this equation with respect to <img src="http://latex.codecogs.c
 om/gif.latex?f"> but also the products  <img src="http://latex.codecogs.co
 m/gif.latex?vf"> and <img src="http://latex.codecogs.com/gif.latex?%5Cinli
 ne%20v%5Cpartial_1v">\, with <img src="http://latex.codecogs.com/gif.latex
 ?">\nsolving the constant-coefficient equation <img src="http://latex.code
 cogs.com/gif.latex?%24%5Cpartial_2%20v-a_0%5Cpartial_1%5E2%20v%3Df%24">. O
 n the stochastic\nside it is shown how these (renormalised) products can b
 e constructed for a random <img src="http://latex.codecogs.com/gif.latex?f
 ">.\n\nThis talk is based on joint work with F. Otto.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
END:VEVENT
END:VCALENDAR