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Weakly coupled systems of the infinity Laplace equations By Dr. Hiroyoshi Mitake (Faculty of Science, Fukuoka university, Japan)

  • Class schedule:  Monday, Mar. 10th, 2014   from  01:30 pm to 02:30 pm
  • Location: Building 1, Room 4214


Abstract

We derive the weakly coupled systems of the infinity Laplace equations via a tug-of-war game introduced by Peres, Schramm, Sheffield, and Wilson (2009). 

We establish existence, uniqueness results of the solutions, and introduce a new notion of ``generalized cones" for systems. By using ``generalized cones" we analyze blow-up limits of solutions. 

This is a joint work with Hung V. Tran (U. Chicago). 


Biography
Dr. Mitake's website:  http://sky.geocities.jp/hiroyoshi_mitake/Research.html