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SUMMARY:Julio D. Rossi (Universidad de Buenos Aires)
DTSTART:20200831T130000Z
DTEND:20200831T140000Z
DTSTAMP:20260423T035613Z
UID:SNPDEA/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SNPDEA/2/">A
  game theoretical approach for a nonlinear system driven by elliptic opera
 tors</a>\nby Julio D. Rossi (Universidad de Buenos Aires) as part of "Part
 ial Differential Equations and Applications" Webinar\n\n\nAbstract\nThis t
 alk is based on the interplay between partial differential equations and p
 robability. \n\nWe find approximations using game theory to viscosity solu
 tions to an elliptic system governed by two different operators (the Lapla
 cian and the infinity Laplacian). \n\nWe analyze a game that combines Tug-
 of-War with Random Walks in two different boards with a positive probabili
 ty of jumping from one board to the other and we prove that the value func
 tions for this game converge uniformly to a viscosity solution of an ellip
 tic system as the step size goes to zero.\n\nIn addition\, we show uniquen
 ess for the elliptic system using pure PDE techniques.\n\nJoint work with 
 A. Miranda (Buenos Aires).\n
LOCATION:https://researchseminars.org/talk/SNPDEA/2/
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