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SUMMARY:Contact Solutions for Fully Nonlinear PDE Systems\, Calculus of Va
 riations in L-Infinity and Aronsson Maps - Nikolaos Katzourakis (BCAM - Ba
 sque Center for Applied Mathematics)
DTSTART:20111128T160000Z
DTEND:20111128T170000Z
UID:TALK33875@talks.cam.ac.uk
CONTACT:Jonathan Ben-Artzi
DESCRIPTION:Very recently there has been proposed a theory of non-differen
 tiable solutions which applies to fully nonlinear PDE systems and extends 
 Viscosity Solutions of Crandall-Ishii-Lions to the general case of maps. I
 t is based on the discovery of an extremality principle which applies to v
 ector fields and leads to a PDE theory within which numerous “solutions
 ” of systems like the Infinity-Laplacian can be rigorously interpreted\,
  while\, most importantly\, the theory supports flexibility under limit op
 erations\, preserving the working philosophy and the main features of the 
 scalar counterpart. In this new context\, we will discuss some recent appl
 ications to the Aronsson system arising in Calculus of Variations in L-Inf
 inity for maps.
LOCATION:CMS\, MR15
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