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De Philippis: Tug of War game, non variational p-Laplacian and Aleksandrov Bakelman Pucci estimates for the infinity Laplacian


I will show uniform bounds and estimates of the modulus of continuity of solutions to the Poisson problem for the non variational infinity and p-Laplacian. As a consequence I will prove the convergence of the value functions to the Tug of War with noise to the value function of the classical Tug of War as the noise goes to zero. Finally I will discuss the failure of the classical Alexandrov-Bakelman-Pucci estimate for the normalized infinity Laplacian and propose alternate estimates. (Joint work with F.Charro, A. Di Castro, D. Maximo.)
http://cvgmt.sns.it/seminar/279/
When
Wed Nov 16, 2011 4pm – 5pm Coordinated Universal Time
Where
Sala Seminari, Department of Mathematics, Pisa University (map)