The limit as p tends to infinity of a free boundary problem for p-Laplacian

Speaker: 

Peiyong Wang

Institution: 

Wayne state university

Time: 

Tuesday, May 21, 2013 - 3:00pm to 4:00pm

Host: 

Location: 

RH306

 

I will introduce the free boundary problem for the p-Laplacian with
emphasis on the free boundary condition. Then any uniform sub-
sequential limit is proved to solve the free boundary problem for
the infinity Laplacian.

 

Optimal Transport and Large Number of Particles

Speaker: 

Wilfrid Gangbo

Institution: 

Georgia Institute of Technology

Time: 

Tuesday, October 1, 2013 - 3:00pm to 4:00pm

Host: 

Location: 

306RH

 

We introduce a concept of viscosity solutions of Hamilton-Jacobi equations in metric spaces and in some cases relate it to viscosity solutions in the sense of differentials in the Wasserstein space. Our study is motivated physical systems which consist of infinitely many particles in motion (This is a joint work with Andzrej Swiech).

 

A new PDE approach for large time behavior of Hamilton-Jacobi equations

Speaker: 

Hung Tran

Institution: 

University of Chicago

Time: 

Tuesday, April 23, 2013 - 3:00pm to 4:00pm

Host: 

Location: 

RH306

 

I will present a new PDE approach to obtain large time behavior
of Hamilton-Jacobi equations. This applies to usual Hamilton-Jacobi
equations, as well as the degenerate viscous cases, and weakly coupled
systems. The degenerate viscous case was an open problem in last 15 years.
This is the joint work with Cagnetti, Gomes, and Mitake.

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