When:

February 28, 2011 @ 3:30 pm – 4:30 pm

2011-02-28T15:30:00-10:00

2011-02-28T16:30:00-10:00

Where:

Keller 401

Speaker: Paul Woon Yin Lee

UC Berkeley

Title: Continuity of Optimal Control Costs and its application to

Weak KAM Theory

Abstract: The weak KAM theorem states that the stationary Hamilton-Jacobi

equation H(x,Df_x)=constant has a kind of weak solution called viscosity

solution. In this talk, we will discuss a version of weak KAM theorem

corresponding to a family optimal control problems. The proof of such

theorem relies on the continuity of the corresponding optimal control

cost. I will give conditions which guarantees this continuity and show

that the condition is sharp. This is a joint work with A. Agrachev.