Calculus of Variations and Geometric Measure Theory

L. Ambrosio - J. Feng

On a class of first order Hamilton-Jacobi equations in metric spaces

created by ambrosio on 30 May 2013
modified on 30 Dec 2013


Submitted Paper

Inserted: 30 may 2013
Last Updated: 30 dec 2013

Year: 2013


We establish well-posedness of a class of first order Hamilton-Jacobi equation in geodesic metric spaces. The result is then applied to a Hamilton-Jacobi equation in the Wasserstein space of probability measures, which arises from the variational formulation of a compressible Euler equation.

Tags: GeMeThNES