:: ENAMA » Encontro Nacional de Análise Matemática e Aplicações ::
MINICURSO
Games that PDE people like to play
Julio D. Rossi
Universidad de Buenos Aires
Universidad de Alicante
We review some recent results concerning Tug-of-War
games and their relation to some well known PDEs. In particular,
we will show that solutions to certain PDEs can be obtained as
limits of values of Tug-of-War games when the parameter that
controls the length of the possible movements goes to zero. Since
the equations under study are nonlinear and not in divergence form
we will make extensive use of the concept of viscosity solutions.