Seminario del 2018

Maggio
29
2018
Hitoshi Ishii, Tsuda University, Japan
The vanishing discount problem for fully nonlinear degenerate elliptic PDEs
nell'ambito della serie: SEMINARI DI ANALISI MATEMATICA BRUNO PINI
analisi matematica
I discuss an approach, based on generalized Mather measures, to the vanishing discount problem for fully nonlinear, degenerate elliptic, partial differential equations. Under mild assumptions, we introduce viscosity Mather measures for such PDEs, which are natural extensions of Mather measures, originally due to J. Mather. Using the viscosity Mather measures, we can show that the whole family of solutions $v^\lambda$ of the discounted problem, with the discount factor $\lambda$, converges to a solution of the ergodic problem as $\lambda$ goes to 0. This is based on joint work with Hiroyoshi Mitake (Hiroshima University) and Hung V. Tran (University of Wisconsin, Madison).
organizzato da: Fausto Ferrari
nell'ambito del Progetto R.F.O. 2014 del prof. Bruno Franchi

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