Speaker: 

Andrzej Swiech

Institution: 

Georgia Institute of Technology

Time: 

Tuesday, January 14, 2014 - 3:00pm to 4:00pm

Host: 

Location: 

RH306

 

The theory of Hamilton-Jacobi equations in Hilbert and some
Banach spaces is relatively well developed. Much less is known about equations in spaces of measures, and more general metric spaces. We will present a notion of metric viscosity solution which applies to a class of Hamilton-Jacobi equations in geodesic metric spaces and gives well posedness for such equations. We will also discuss other approaches to Hamilton-Jacobi equations in metric spaces, in particular in the Wasserstein space, and discuss some applications of such equations.